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Finding the Third Proportional to 311,811.94 and 673,519.88

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Solution

The third proportional to 311,811.94 and 673,519.88 is: 1,454,816.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,811.94 : 673,519.88 = 673,519.88 : x
  2. Step 2: Convert to fraction form
    311,811.94/673,519.88 = 673,519.88/x
  3. Step 3: Cross multiply
    311,811.94x = 673,519.88 × 673,519.88
  4. Step 4: Simplify right side
    311,811.94x = 453,629,022,020.02
  5. Step 5: Solve for x
    x = 453,629,022,020.02/311,811.94
  6. Step 6: Final answer
    x = 1,454,816.08

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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.