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Finding the Third Proportional to 266,625 and 577,531

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Solution

The third proportional to 266,625 and 577,531 is: 1,250,978.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,625 : 577,531 = 577,531 : x
  2. Step 2: Convert to fraction form
    266,625/577,531 = 577,531/x
  3. Step 3: Cross multiply
    266,625x = 577,531 × 577,531
  4. Step 4: Simplify right side
    266,625x = 333,542,055,961
  5. Step 5: Solve for x
    x = 333,542,055,961/266,625
  6. Step 6: Final answer
    x = 1,250,978.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.