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Finding the Third Proportional to 244,651 and 378,110

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Solution

The third proportional to 244,651 and 378,110 is: 584,371.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,651 : 378,110 = 378,110 : x
  2. Step 2: Convert to fraction form
    244,651/378,110 = 378,110/x
  3. Step 3: Cross multiply
    244,651x = 378,110 × 378,110
  4. Step 4: Simplify right side
    244,651x = 142,967,172,100
  5. Step 5: Solve for x
    x = 142,967,172,100/244,651
  6. Step 6: Final answer
    x = 584,371.91

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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.