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Finding the Third Proportional to 311,759 and 672,165

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Solution

The third proportional to 311,759 and 672,165 is: 1,449,214.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,759 : 672,165 = 672,165 : x
  2. Step 2: Convert to fraction form
    311,759/672,165 = 672,165/x
  3. Step 3: Cross multiply
    311,759x = 672,165 × 672,165
  4. Step 4: Simplify right side
    311,759x = 451,805,787,225
  5. Step 5: Solve for x
    x = 451,805,787,225/311,759
  6. Step 6: Final answer
    x = 1,449,214.90

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.