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Finding the Third Proportional to 293,928 and 636,744

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Solution

The third proportional to 293,928 and 636,744 is: 1,379,395.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,928 : 636,744 = 636,744 : x
  2. Step 2: Convert to fraction form
    293,928/636,744 = 636,744/x
  3. Step 3: Cross multiply
    293,928x = 636,744 × 636,744
  4. Step 4: Simplify right side
    293,928x = 405,442,921,536
  5. Step 5: Solve for x
    x = 405,442,921,536/293,928
  6. Step 6: Final answer
    x = 1,379,395.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.