Finding the Third Proportional to 496 and 529
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Solution
The third proportional to 496 and 529 is: 564.20
Step by Step Solution
- Step 1: Write the proportion equation
496 : 529 = 529 : x - Step 2: Convert to fraction form
496/529 = 529/x - Step 3: Cross multiply
496x = 529 × 529 - Step 4: Simplify right side
496x = 279,841 - Step 5: Solve for x
x = 279,841/496 - Step 6: Final answer
x = 564.20
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Why These Related Problems?
These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.