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Finding the Third Proportional to 418,794 and 667,042

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Solution

The third proportional to 418,794 and 667,042 is: 1,062,443.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,794 : 667,042 = 667,042 : x
  2. Step 2: Convert to fraction form
    418,794/667,042 = 667,042/x
  3. Step 3: Cross multiply
    418,794x = 667,042 × 667,042
  4. Step 4: Simplify right side
    418,794x = 444,945,029,764
  5. Step 5: Solve for x
    x = 444,945,029,764/418,794
  6. Step 6: Final answer
    x = 1,062,443.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.