Finding the Third Proportional to 486 and 566
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Solution
The third proportional to 486 and 566 is: 659.17
Step by Step Solution
- Step 1: Write the proportion equation
486 : 566 = 566 : x - Step 2: Convert to fraction form
486/566 = 566/x - Step 3: Cross multiply
486x = 566 × 566 - Step 4: Simplify right side
486x = 320,356 - Step 5: Solve for x
x = 320,356/486 - Step 6: Final answer
x = 659.17
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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.