Finding the Third Proportional to 493 and 532
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Solution
The third proportional to 493 and 532 is: 574.09
Step by Step Solution
- Step 1: Write the proportion equation
493 : 532 = 532 : x - Step 2: Convert to fraction form
493/532 = 532/x - Step 3: Cross multiply
493x = 532 × 532 - Step 4: Simplify right side
493x = 283,024 - Step 5: Solve for x
x = 283,024/493 - Step 6: Final answer
x = 574.09
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Why These Related Problems?
These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.