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Finding the Third Proportional to 402,555 and 868,170.75

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Solution

The third proportional to 402,555 and 868,170.75 is: 1,872,341.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,555 : 868,170.75 = 868,170.75 : x
  2. Step 2: Convert to fraction form
    402,555/868,170.75 = 868,170.75/x
  3. Step 3: Cross multiply
    402,555x = 868,170.75 × 868,170.75
  4. Step 4: Simplify right side
    402,555x = 753,720,451,155.56
  5. Step 5: Solve for x
    x = 753,720,451,155.56/402,555
  6. Step 6: Final answer
    x = 1,872,341.55

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