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Finding the Third Proportional to 339,906 and 746,718

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Solution

The third proportional to 339,906 and 746,718 is: 1,640,417.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,906 : 746,718 = 746,718 : x
  2. Step 2: Convert to fraction form
    339,906/746,718 = 746,718/x
  3. Step 3: Cross multiply
    339,906x = 746,718 × 746,718
  4. Step 4: Simplify right side
    339,906x = 557,587,771,524
  5. Step 5: Solve for x
    x = 557,587,771,524/339,906
  6. Step 6: Final answer
    x = 1,640,417.56

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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.