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Finding the Third Proportional to 339,500 and 746,794

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Solution

The third proportional to 339,500 and 746,794 is: 1,642,713.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,500 : 746,794 = 746,794 : x
  2. Step 2: Convert to fraction form
    339,500/746,794 = 746,794/x
  3. Step 3: Cross multiply
    339,500x = 746,794 × 746,794
  4. Step 4: Simplify right side
    339,500x = 557,701,278,436
  5. Step 5: Solve for x
    x = 557,701,278,436/339,500
  6. Step 6: Final answer
    x = 1,642,713.63

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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.