Finding the Third Proportional to 518 and 614
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Solution
The third proportional to 518 and 614 is: 727.79
Step by Step Solution
- Step 1: Write the proportion equation
518 : 614 = 614 : x - Step 2: Convert to fraction form
518/614 = 614/x - Step 3: Cross multiply
518x = 614 × 614 - Step 4: Simplify right side
518x = 376,996 - Step 5: Solve for x
x = 376,996/518 - Step 6: Final answer
x = 727.79
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These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.