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Finding the Third Proportional to 466,759 and 724,138.50

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Solution

The third proportional to 466,759 and 724,138.50 is: 1,123,441.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,759 : 724,138.50 = 724,138.50 : x
  2. Step 2: Convert to fraction form
    466,759/724,138.50 = 724,138.50/x
  3. Step 3: Cross multiply
    466,759x = 724,138.50 × 724,138.50
  4. Step 4: Simplify right side
    466,759x = 524,376,567,182.25
  5. Step 5: Solve for x
    x = 524,376,567,182.25/466,759
  6. Step 6: Final answer
    x = 1,123,441.79

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