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Finding the Third Proportional to 339,660 and 694,066.50

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Solution

The third proportional to 339,660 and 694,066.50 is: 1,418,266.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,660 : 694,066.50 = 694,066.50 : x
  2. Step 2: Convert to fraction form
    339,660/694,066.50 = 694,066.50/x
  3. Step 3: Cross multiply
    339,660x = 694,066.50 × 694,066.50
  4. Step 4: Simplify right side
    339,660x = 481,728,306,422.25
  5. Step 5: Solve for x
    x = 481,728,306,422.25/339,660
  6. Step 6: Final answer
    x = 1,418,266.23

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