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Finding the Third Proportional to 311,188.50 and 633,791.25

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Solution

The third proportional to 311,188.50 and 633,791.25 is: 1,290,829.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,188.50 : 633,791.25 = 633,791.25 : x
  2. Step 2: Convert to fraction form
    311,188.50/633,791.25 = 633,791.25/x
  3. Step 3: Cross multiply
    311,188.50x = 633,791.25 × 633,791.25
  4. Step 4: Simplify right side
    311,188.50x = 401,691,348,576.56
  5. Step 5: Solve for x
    x = 401,691,348,576.56/311,188.50
  6. Step 6: Final answer
    x = 1,290,829.67

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.