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Finding the Third Proportional to 466,766 and 724,150

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Solution

The third proportional to 466,766 and 724,150 is: 1,123,460.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,766 : 724,150 = 724,150 : x
  2. Step 2: Convert to fraction form
    466,766/724,150 = 724,150/x
  3. Step 3: Cross multiply
    466,766x = 724,150 × 724,150
  4. Step 4: Simplify right side
    466,766x = 524,393,222,500
  5. Step 5: Solve for x
    x = 524,393,222,500/466,766
  6. Step 6: Final answer
    x = 1,123,460.63

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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.