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Finding the Third Proportional to 339,876 and 694,494

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Solution

The third proportional to 339,876 and 694,494 is: 1,419,111.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,876 : 694,494 = 694,494 : x
  2. Step 2: Convert to fraction form
    339,876/694,494 = 694,494/x
  3. Step 3: Cross multiply
    339,876x = 694,494 × 694,494
  4. Step 4: Simplify right side
    339,876x = 482,321,916,036
  5. Step 5: Solve for x
    x = 482,321,916,036/339,876
  6. Step 6: Final answer
    x = 1,419,111.43

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.