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Finding the Third Proportional to 402,527 and 868,110

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Solution

The third proportional to 402,527 and 868,110 is: 1,872,209.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,527 : 868,110 = 868,110 : x
  2. Step 2: Convert to fraction form
    402,527/868,110 = 868,110/x
  3. Step 3: Cross multiply
    402,527x = 868,110 × 868,110
  4. Step 4: Simplify right side
    402,527x = 753,614,972,100
  5. Step 5: Solve for x
    x = 753,614,972,100/402,527
  6. Step 6: Final answer
    x = 1,872,209.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.