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Finding the Third Proportional to 244,882.13 and 378,405

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Solution

The third proportional to 244,882.13 and 378,405 is: 584,731.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,882.13 : 378,405 = 378,405 : x
  2. Step 2: Convert to fraction form
    244,882.13/378,405 = 378,405/x
  3. Step 3: Cross multiply
    244,882.13x = 378,405 × 378,405
  4. Step 4: Simplify right side
    244,882.13x = 143,190,344,025
  5. Step 5: Solve for x
    x = 143,190,344,025/244,882.13
  6. Step 6: Final answer
    x = 584,731.71

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.