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Finding the Third Proportional to 311,556.38 and 677,787.75

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Solution

The third proportional to 311,556.38 and 677,787.75 is: 1,474,520.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,556.38 : 677,787.75 = 677,787.75 : x
  2. Step 2: Convert to fraction form
    311,556.38/677,787.75 = 677,787.75/x
  3. Step 3: Cross multiply
    311,556.38x = 677,787.75 × 677,787.75
  4. Step 4: Simplify right side
    311,556.38x = 459,396,234,050.06
  5. Step 5: Solve for x
    x = 459,396,234,050.06/311,556.38
  6. Step 6: Final answer
    x = 1,474,520.41

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Why These Related Problems?

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