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Finding the Third Proportional to 244,882.13 and 378,405.38

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Solution

The third proportional to 244,882.13 and 378,405.38 is: 584,732.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,882.13 : 378,405.38 = 378,405.38 : x
  2. Step 2: Convert to fraction form
    244,882.13/378,405.38 = 378,405.38/x
  3. Step 3: Cross multiply
    244,882.13x = 378,405.38 × 378,405.38
  4. Step 4: Simplify right side
    244,882.13x = 143,190,627,828.89
  5. Step 5: Solve for x
    x = 143,190,627,828.89/244,882.13
  6. Step 6: Final answer
    x = 584,732.87

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Why These Related Problems?

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