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Finding the Third Proportional to 331,938 and 498,150

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Solution

The third proportional to 331,938 and 498,150 is: 747,589.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,938 : 498,150 = 498,150 : x
  2. Step 2: Convert to fraction form
    331,938/498,150 = 498,150/x
  3. Step 3: Cross multiply
    331,938x = 498,150 × 498,150
  4. Step 4: Simplify right side
    331,938x = 248,153,422,500
  5. Step 5: Solve for x
    x = 248,153,422,500/331,938
  6. Step 6: Final answer
    x = 747,589.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.