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Finding the Third Proportional to 338,934 and 722,902

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Solution

The third proportional to 338,934 and 722,902 is: 1,541,855.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,934 : 722,902 = 722,902 : x
  2. Step 2: Convert to fraction form
    338,934/722,902 = 722,902/x
  3. Step 3: Cross multiply
    338,934x = 722,902 × 722,902
  4. Step 4: Simplify right side
    338,934x = 522,587,301,604
  5. Step 5: Solve for x
    x = 522,587,301,604/338,934
  6. Step 6: Final answer
    x = 1,541,855.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.