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Finding the Third Proportional to 378,138.38 and 813,624.75

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Solution

The third proportional to 378,138.38 and 813,624.75 is: 1,750,642.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,138.38 : 813,624.75 = 813,624.75 : x
  2. Step 2: Convert to fraction form
    378,138.38/813,624.75 = 813,624.75/x
  3. Step 3: Cross multiply
    378,138.38x = 813,624.75 × 813,624.75
  4. Step 4: Simplify right side
    378,138.38x = 661,985,233,812.56
  5. Step 5: Solve for x
    x = 661,985,233,812.56/378,138.38
  6. Step 6: Final answer
    x = 1,750,642.83

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.