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Finding the Third Proportional to 339,908 and 746,722

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Solution

The third proportional to 339,908 and 746,722 is: 1,640,425.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,908 : 746,722 = 746,722 : x
  2. Step 2: Convert to fraction form
    339,908/746,722 = 746,722/x
  3. Step 3: Cross multiply
    339,908x = 746,722 × 746,722
  4. Step 4: Simplify right side
    339,908x = 557,593,745,284
  5. Step 5: Solve for x
    x = 557,593,745,284/339,908
  6. Step 6: Final answer
    x = 1,640,425.48

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