Focal length and image sizes not matching up?? Someone tell me where I’m going wrong.

Focal length and image sizes not matching up?? Someone tell me where I'm going wrong. So I just recently got a new lens hoping it would give me a big zoom, but for some reason, my calculations are not matching up... I wanna know where I went wrong. I have a 55-250 EF-S lens and I got a new 75-300 mm EF lens. Now because my camera is a canon crop sensor camera, I was hoping to get an effective focal length of 480mm ie 300*1.6. I w...

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