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Finding the Third Proportional to 339,884 and 746,872

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Solution

The third proportional to 339,884 and 746,872 is: 1,641,200.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,884 : 746,872 = 746,872 : x
  2. Step 2: Convert to fraction form
    339,884/746,872 = 746,872/x
  3. Step 3: Cross multiply
    339,884x = 746,872 × 746,872
  4. Step 4: Simplify right side
    339,884x = 557,817,784,384
  5. Step 5: Solve for x
    x = 557,817,784,384/339,884
  6. Step 6: Final answer
    x = 1,641,200.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.