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Finding the Third Proportional to 339,667 and 694,082

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Solution

The third proportional to 339,667 and 694,082 is: 1,418,300.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,667 : 694,082 = 694,082 : x
  2. Step 2: Convert to fraction form
    339,667/694,082 = 694,082/x
  3. Step 3: Cross multiply
    339,667x = 694,082 × 694,082
  4. Step 4: Simplify right side
    339,667x = 481,749,822,724
  5. Step 5: Solve for x
    x = 481,749,822,724/339,667
  6. Step 6: Final answer
    x = 1,418,300.34

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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.