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Finding the Third Proportional to 339,494 and 737,375

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Solution

The third proportional to 339,494 and 737,375 is: 1,601,565.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,494 : 737,375 = 737,375 : x
  2. Step 2: Convert to fraction form
    339,494/737,375 = 737,375/x
  3. Step 3: Cross multiply
    339,494x = 737,375 × 737,375
  4. Step 4: Simplify right side
    339,494x = 543,721,890,625
  5. Step 5: Solve for x
    x = 543,721,890,625/339,494
  6. Step 6: Final answer
    x = 1,601,565.54

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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.