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Finding the Third Proportional to 311,756 and 672,158.50

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Solution

The third proportional to 311,756 and 672,158.50 is: 1,449,200.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,756 : 672,158.50 = 672,158.50 : x
  2. Step 2: Convert to fraction form
    311,756/672,158.50 = 672,158.50/x
  3. Step 3: Cross multiply
    311,756x = 672,158.50 × 672,158.50
  4. Step 4: Simplify right side
    311,756x = 451,797,049,122.25
  5. Step 5: Solve for x
    x = 451,797,049,122.25/311,756
  6. Step 6: Final answer
    x = 1,449,200.81

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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.