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Finding the Third Proportional to 638,213.50 and 944,704.50

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Solution

The third proportional to 638,213.50 and 944,704.50 is: 1,398,382.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,213.50 : 944,704.50 = 944,704.50 : x
  2. Step 2: Convert to fraction form
    638,213.50/944,704.50 = 944,704.50/x
  3. Step 3: Cross multiply
    638,213.50x = 944,704.50 × 944,704.50
  4. Step 4: Simplify right side
    638,213.50x = 892,466,592,320.25
  5. Step 5: Solve for x
    x = 892,466,592,320.25/638,213.50
  6. Step 6: Final answer
    x = 1,398,382.50

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.