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Finding the Third Proportional to 339,894 and 746,892

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Solution

The third proportional to 339,894 and 746,892 is: 1,641,240.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,894 : 746,892 = 746,892 : x
  2. Step 2: Convert to fraction form
    339,894/746,892 = 746,892/x
  3. Step 3: Cross multiply
    339,894x = 746,892 × 746,892
  4. Step 4: Simplify right side
    339,894x = 557,847,659,664
  5. Step 5: Solve for x
    x = 557,847,659,664/339,894
  6. Step 6: Final answer
    x = 1,641,240.09

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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.