Finding the Third Proportional to 416 and 484
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Solution
The third proportional to 416 and 484 is: 563.12
Step by Step Solution
- Step 1: Write the proportion equation
416 : 484 = 484 : x - Step 2: Convert to fraction form
416/484 = 484/x - Step 3: Cross multiply
416x = 484 × 484 - Step 4: Simplify right side
416x = 234,256 - Step 5: Solve for x
x = 234,256/416 - Step 6: Final answer
x = 563.12
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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.