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Finding the Third Proportional to 394,304 and 617,734

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Solution

The third proportional to 394,304 and 617,734 is: 967,769.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,304 : 617,734 = 617,734 : x
  2. Step 2: Convert to fraction form
    394,304/617,734 = 617,734/x
  3. Step 3: Cross multiply
    394,304x = 617,734 × 617,734
  4. Step 4: Simplify right side
    394,304x = 381,595,294,756
  5. Step 5: Solve for x
    x = 381,595,294,756/394,304
  6. Step 6: Final answer
    x = 967,769.27

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.