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Finding the Third Proportional to 311,833.50 and 660,474.75

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Solution

The third proportional to 311,833.50 and 660,474.75 is: 1,398,909.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,833.50 : 660,474.75 = 660,474.75 : x
  2. Step 2: Convert to fraction form
    311,833.50/660,474.75 = 660,474.75/x
  3. Step 3: Cross multiply
    311,833.50x = 660,474.75 × 660,474.75
  4. Step 4: Simplify right side
    311,833.50x = 436,226,895,387.56
  5. Step 5: Solve for x
    x = 436,226,895,387.56/311,833.50
  6. Step 6: Final answer
    x = 1,398,909.66

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.