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Finding the Third Proportional to 252,750 and 394,677

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Solution

The third proportional to 252,750 and 394,677 is: 616,300.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,750 : 394,677 = 394,677 : x
  2. Step 2: Convert to fraction form
    252,750/394,677 = 394,677/x
  3. Step 3: Cross multiply
    252,750x = 394,677 × 394,677
  4. Step 4: Simplify right side
    252,750x = 155,769,934,329
  5. Step 5: Solve for x
    x = 155,769,934,329/252,750
  6. Step 6: Final answer
    x = 616,300.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.