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Finding the Third Proportional to 465,442 and 723,672.75

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Solution

The third proportional to 465,442 and 723,672.75 is: 1,125,171.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,442 : 723,672.75 = 723,672.75 : x
  2. Step 2: Convert to fraction form
    465,442/723,672.75 = 723,672.75/x
  3. Step 3: Cross multiply
    465,442x = 723,672.75 × 723,672.75
  4. Step 4: Simplify right side
    465,442x = 523,702,249,092.56
  5. Step 5: Solve for x
    x = 523,702,249,092.56/465,442
  6. Step 6: Final answer
    x = 1,125,171.88

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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.