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Finding the Third Proportional to 641,540.25 and 1,377,850.50

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Solution

The third proportional to 641,540.25 and 1,377,850.50 is: 2,959,240.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,540.25 : 1,377,850.50 = 1,377,850.50 : x
  2. Step 2: Convert to fraction form
    641,540.25/1,377,850.50 = 1,377,850.50/x
  3. Step 3: Cross multiply
    641,540.25x = 1,377,850.50 × 1,377,850.50
  4. Step 4: Simplify right side
    641,540.25x = 1,898,472,000,350.25
  5. Step 5: Solve for x
    x = 1,898,472,000,350.25/641,540.25
  6. Step 6: Final answer
    x = 2,959,240.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.