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Finding the Third Proportional to 567,193 and 878,675

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Solution

The third proportional to 567,193 and 878,675 is: 1,361,211.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,193 : 878,675 = 878,675 : x
  2. Step 2: Convert to fraction form
    567,193/878,675 = 878,675/x
  3. Step 3: Cross multiply
    567,193x = 878,675 × 878,675
  4. Step 4: Simplify right side
    567,193x = 772,069,755,625
  5. Step 5: Solve for x
    x = 772,069,755,625/567,193
  6. Step 6: Final answer
    x = 1,361,211.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.