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Finding the Third Proportional to 266,475 and 567,474

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Solution

The third proportional to 266,475 and 567,474 is: 1,208,468.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,475 : 567,474 = 567,474 : x
  2. Step 2: Convert to fraction form
    266,475/567,474 = 567,474/x
  3. Step 3: Cross multiply
    266,475x = 567,474 × 567,474
  4. Step 4: Simplify right side
    266,475x = 322,026,740,676
  5. Step 5: Solve for x
    x = 322,026,740,676/266,475
  6. Step 6: Final answer
    x = 1,208,468.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.