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Finding the Third Proportional to 311,566.88 and 677,808.75

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Solution

The third proportional to 311,566.88 and 677,808.75 is: 1,474,562.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,566.88 : 677,808.75 = 677,808.75 : x
  2. Step 2: Convert to fraction form
    311,566.88/677,808.75 = 677,808.75/x
  3. Step 3: Cross multiply
    311,566.88x = 677,808.75 × 677,808.75
  4. Step 4: Simplify right side
    311,566.88x = 459,424,701,576.56
  5. Step 5: Solve for x
    x = 459,424,701,576.56/311,566.88
  6. Step 6: Final answer
    x = 1,474,562.09

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.