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Finding the Third Proportional to 339,917 and 746,740

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Solution

The third proportional to 339,917 and 746,740 is: 1,640,461.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,917 : 746,740 = 746,740 : x
  2. Step 2: Convert to fraction form
    339,917/746,740 = 746,740/x
  3. Step 3: Cross multiply
    339,917x = 746,740 × 746,740
  4. Step 4: Simplify right side
    339,917x = 557,620,627,600
  5. Step 5: Solve for x
    x = 557,620,627,600/339,917
  6. Step 6: Final answer
    x = 1,640,461.13

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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.