Finding the Third Proportional to 414 and 502
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Solution
The third proportional to 414 and 502 is: 608.71
Step by Step Solution
- Step 1: Write the proportion equation
414 : 502 = 502 : x - Step 2: Convert to fraction form
414/502 = 502/x - Step 3: Cross multiply
414x = 502 × 502 - Step 4: Simplify right side
414x = 252,004 - Step 5: Solve for x
x = 252,004/414 - Step 6: Final answer
x = 608.71
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These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.