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Finding the Third Proportional to 467,151 and 721,744.50

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Solution

The third proportional to 467,151 and 721,744.50 is: 1,115,089.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,151 : 721,744.50 = 721,744.50 : x
  2. Step 2: Convert to fraction form
    467,151/721,744.50 = 721,744.50/x
  3. Step 3: Cross multiply
    467,151x = 721,744.50 × 721,744.50
  4. Step 4: Simplify right side
    467,151x = 520,915,123,280.25
  5. Step 5: Solve for x
    x = 520,915,123,280.25/467,151
  6. Step 6: Final answer
    x = 1,115,089.39

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.