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Finding the Third Proportional to 244,660 and 378,122

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Solution

The third proportional to 244,660 and 378,122 is: 584,387.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,660 : 378,122 = 378,122 : x
  2. Step 2: Convert to fraction form
    244,660/378,122 = 378,122/x
  3. Step 3: Cross multiply
    244,660x = 378,122 × 378,122
  4. Step 4: Simplify right side
    244,660x = 142,976,246,884
  5. Step 5: Solve for x
    x = 142,976,246,884/244,660
  6. Step 6: Final answer
    x = 584,387.50

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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.