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Finding the Third Proportional to 547,375 and 871,654

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Solution

The third proportional to 547,375 and 871,654 is: 1,388,044.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,375 : 871,654 = 871,654 : x
  2. Step 2: Convert to fraction form
    547,375/871,654 = 871,654/x
  3. Step 3: Cross multiply
    547,375x = 871,654 × 871,654
  4. Step 4: Simplify right side
    547,375x = 759,780,695,716
  5. Step 5: Solve for x
    x = 759,780,695,716/547,375
  6. Step 6: Final answer
    x = 1,388,044.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.