
When you ask "What number is halfway between 34 and 513?" we assume you mean the number in the exact middle of the two numbers on a number line, as illustrated below, where X=34 and Y=513.

To find the number halfway between 34 and 513, we use the following formula:
(X + Y)/2 = Halfway Between
When we enter 34 and 513 into our formula, we get:
(34 + 513)/2 = 273.5
Thus, the number halfway between 34 and 513 is 273.5.
To check that our answer is correct, we subtract 34 from 273.5 and subtract 273.5 from 513 and compare the two numbers:
273.5 - 34 = 239.5
513 - 273.5 = 239.5
As you can see, the halfway number is 239.5 higher than 34 and 239.5 lower than 513. Therefore, our halfway between answer of 273.5 above is correct.
Halfway Between
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Halfway Between 34 and 514
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