Finding the Third Proportional to 287.72 and 452.25
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Solution
The third proportional to 287.72 and 452.25 is: 710.87
Step by Step Solution
- Step 1: Write the proportion equation
287.72 : 452.25 = 452.25 : x - Step 2: Convert to fraction form
287.72/452.25 = 452.25/x - Step 3: Cross multiply
287.72x = 452.25 × 452.25 - Step 4: Simplify right side
287.72x = 204,530.06 - Step 5: Solve for x
x = 204,530.06/287.72 - Step 6: Final answer
x = 710.87
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.