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Finding the Third Proportional to 466,758 and 724,137

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Solution

The third proportional to 466,758 and 724,137 is: 1,123,439.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,758 : 724,137 = 724,137 : x
  2. Step 2: Convert to fraction form
    466,758/724,137 = 724,137/x
  3. Step 3: Cross multiply
    466,758x = 724,137 × 724,137
  4. Step 4: Simplify right side
    466,758x = 524,374,394,769
  5. Step 5: Solve for x
    x = 524,374,394,769/466,758
  6. Step 6: Final answer
    x = 1,123,439.54

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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.