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Finding the Third Proportional to 339,192 and 739,944

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Solution

The third proportional to 339,192 and 739,944 is: 1,614,180.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,192 : 739,944 = 739,944 : x
  2. Step 2: Convert to fraction form
    339,192/739,944 = 739,944/x
  3. Step 3: Cross multiply
    339,192x = 739,944 × 739,944
  4. Step 4: Simplify right side
    339,192x = 547,517,123,136
  5. Step 5: Solve for x
    x = 547,517,123,136/339,192
  6. Step 6: Final answer
    x = 1,614,180.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.