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Finding the Third Proportional to 381,844.13 and 754,044.19

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Solution

The third proportional to 381,844.13 and 754,044.19 is: 1,489,043.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,844.13 : 754,044.19 = 754,044.19 : x
  2. Step 2: Convert to fraction form
    381,844.13/754,044.19 = 754,044.19/x
  3. Step 3: Cross multiply
    381,844.13x = 754,044.19 × 754,044.19
  4. Step 4: Simplify right side
    381,844.13x = 568,582,636,702.54
  5. Step 5: Solve for x
    x = 568,582,636,702.54/381,844.13
  6. Step 6: Final answer
    x = 1,489,043.83

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.