Here is the webpage that it is happening on (Celebrate theme):
Here is one of my other websites where I uploaded exactly the same images and resized them on the page to the same sizes as the Celebrate theme. This theme is Sliding Door:
As you can see, the sliding door theme displays the images correctly, but with the Celebrate theme, even though they appear okay on the wordpress page, they display as the original sizes before resizing them on the wordpress page.
The version of the Celebrate theme I am using is 0.2.7. I am using both themes with WordPress 3.6. It is definitely not the plugins. I tried it without any plugins and it still did the same.
I appreciate all your help.