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Finding the Third Proportional to 438,757 and 663,535.50

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Solution

The third proportional to 438,757 and 663,535.50 is: 1,003,469.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,757 : 663,535.50 = 663,535.50 : x
  2. Step 2: Convert to fraction form
    438,757/663,535.50 = 663,535.50/x
  3. Step 3: Cross multiply
    438,757x = 663,535.50 × 663,535.50
  4. Step 4: Simplify right side
    438,757x = 440,279,359,760.25
  5. Step 5: Solve for x
    x = 440,279,359,760.25/438,757
  6. Step 6: Final answer
    x = 1,003,469.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.