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Finding the Third Proportional to 339,660 and 694,066

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Solution

The third proportional to 339,660 and 694,066 is: 1,418,264.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,660 : 694,066 = 694,066 : x
  2. Step 2: Convert to fraction form
    339,660/694,066 = 694,066/x
  3. Step 3: Cross multiply
    339,660x = 694,066 × 694,066
  4. Step 4: Simplify right side
    339,660x = 481,727,612,356
  5. Step 5: Solve for x
    x = 481,727,612,356/339,660
  6. Step 6: Final answer
    x = 1,418,264.18

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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.