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Finding the Third Proportional to 339,489 and 739,852

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Solution

The third proportional to 339,489 and 739,852 is: 1,612,367.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,489 : 739,852 = 739,852 : x
  2. Step 2: Convert to fraction form
    339,489/739,852 = 739,852/x
  3. Step 3: Cross multiply
    339,489x = 739,852 × 739,852
  4. Step 4: Simplify right side
    339,489x = 547,380,981,904
  5. Step 5: Solve for x
    x = 547,380,981,904/339,489
  6. Step 6: Final answer
    x = 1,612,367.36

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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.