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Finding the Third Proportional to 311,753.81 and 672,154.88

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Solution

The third proportional to 311,753.81 and 672,154.88 is: 1,449,195.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,753.81 : 672,154.88 = 672,154.88 : x
  2. Step 2: Convert to fraction form
    311,753.81/672,154.88 = 672,154.88/x
  3. Step 3: Cross multiply
    311,753.81x = 672,154.88 × 672,154.88
  4. Step 4: Simplify right side
    311,753.81x = 451,792,175,986.27
  5. Step 5: Solve for x
    x = 451,792,175,986.27/311,753.81
  6. Step 6: Final answer
    x = 1,449,195.35

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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.