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Finding the Third Proportional to 339,701 and 694,144

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Solution

The third proportional to 339,701 and 694,144 is: 1,418,411.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,701 : 694,144 = 694,144 : x
  2. Step 2: Convert to fraction form
    339,701/694,144 = 694,144/x
  3. Step 3: Cross multiply
    339,701x = 694,144 × 694,144
  4. Step 4: Simplify right side
    339,701x = 481,835,892,736
  5. Step 5: Solve for x
    x = 481,835,892,736/339,701
  6. Step 6: Final answer
    x = 1,418,411.76

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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.