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Finding the Third Proportional to 127,452 and 280,626

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Solution

The third proportional to 127,452 and 280,626 is: 617,887.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,452 : 280,626 = 280,626 : x
  2. Step 2: Convert to fraction form
    127,452/280,626 = 280,626/x
  3. Step 3: Cross multiply
    127,452x = 280,626 × 280,626
  4. Step 4: Simplify right side
    127,452x = 78,750,951,876
  5. Step 5: Solve for x
    x = 78,750,951,876/127,452
  6. Step 6: Final answer
    x = 617,887.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.