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Finding the Third Proportional to 339,666 and 694,080

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Solution

The third proportional to 339,666 and 694,080 is: 1,418,296.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,666 : 694,080 = 694,080 : x
  2. Step 2: Convert to fraction form
    339,666/694,080 = 694,080/x
  3. Step 3: Cross multiply
    339,666x = 694,080 × 694,080
  4. Step 4: Simplify right side
    339,666x = 481,747,046,400
  5. Step 5: Solve for x
    x = 481,747,046,400/339,666
  6. Step 6: Final answer
    x = 1,418,296.35

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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.