Floated element not clearing to a new line in document's flow - css

Question

I am attempting to learn how to use floats and have created a test page with 3 floated paragraph elements.
All 3 paragraph elements have been floated left, so that they are essentially in-line and form 3 columns. The second of these elements has a clear: right property. I expected this to force the third floated paragraph element onto a 'new line' (so to speak) in the document's flow, i.e. so that it is below the first two floated paragraphs, but this is not the case. Could anyone explain why this is?
Code below:
body {
font-family: sans-serif;
}
#float1 {
float: left;
clear: left;
margin: 5px;
width: 30%;
border: solid 2px black;
}
#float2 {
float: left;
clear: right;
margin: 5px;
width: 30%;
border: solid 2px black;
}
#float3 {
float: left;
margin: 5px;
width: 30%;
border: solid 2px black;
}
<p id="float1"> Float 1: Lorem ipsum dolor sit amet, consectetur adipisicing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat. Duis aute
irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur. Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum.</p>
<p id="float2"> Float 2: Lorem ipsum dolor sit amet, consectetur adipisicing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat. Duis aute
irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur. Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum.</p>
<p id="float3"> Float 3: Lorem ipsum dolor sit amet, consectetur adipisicing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat. Duis aute
irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur. Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum.</p>
I'm certain that this is a misunderstanding on my part. My apologies if this has been asked before.