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Finding the Third Proportional to 244,843 and 378,337

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Solution

The third proportional to 244,843 and 378,337 is: 584,614.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,843 : 378,337 = 378,337 : x
  2. Step 2: Convert to fraction form
    244,843/378,337 = 378,337/x
  3. Step 3: Cross multiply
    244,843x = 378,337 × 378,337
  4. Step 4: Simplify right side
    244,843x = 143,138,885,569
  5. Step 5: Solve for x
    x = 143,138,885,569/244,843
  6. Step 6: Final answer
    x = 584,614.98

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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.