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Finding the Third Proportional to 244,649 and 378,107

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Solution

The third proportional to 244,649 and 378,107 is: 584,367.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,649 : 378,107 = 378,107 : x
  2. Step 2: Convert to fraction form
    244,649/378,107 = 378,107/x
  3. Step 3: Cross multiply
    244,649x = 378,107 × 378,107
  4. Step 4: Simplify right side
    244,649x = 142,964,903,449
  5. Step 5: Solve for x
    x = 142,964,903,449/244,649
  6. Step 6: Final answer
    x = 584,367.41

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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.