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Finding the Third Proportional to 339,669 and 694,086

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Solution

The third proportional to 339,669 and 694,086 is: 1,418,308.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,669 : 694,086 = 694,086 : x
  2. Step 2: Convert to fraction form
    339,669/694,086 = 694,086/x
  3. Step 3: Cross multiply
    339,669x = 694,086 × 694,086
  4. Step 4: Simplify right side
    339,669x = 481,755,375,396
  5. Step 5: Solve for x
    x = 481,755,375,396/339,669
  6. Step 6: Final answer
    x = 1,418,308.34

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.