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Finding the Third Proportional to 207,831 and 334,698

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Solution

The third proportional to 207,831 and 334,698 is: 539,008.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,831 : 334,698 = 334,698 : x
  2. Step 2: Convert to fraction form
    207,831/334,698 = 334,698/x
  3. Step 3: Cross multiply
    207,831x = 334,698 × 334,698
  4. Step 4: Simplify right side
    207,831x = 112,022,751,204
  5. Step 5: Solve for x
    x = 112,022,751,204/207,831
  6. Step 6: Final answer
    x = 539,008.86

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.