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Finding the Third Proportional to 275,202.75 and 421,008.75

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Solution

The third proportional to 275,202.75 and 421,008.75 is: 644,064.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,202.75 : 421,008.75 = 421,008.75 : x
  2. Step 2: Convert to fraction form
    275,202.75/421,008.75 = 421,008.75/x
  3. Step 3: Cross multiply
    275,202.75x = 421,008.75 × 421,008.75
  4. Step 4: Simplify right side
    275,202.75x = 177,248,367,576.56
  5. Step 5: Solve for x
    x = 177,248,367,576.56/275,202.75
  6. Step 6: Final answer
    x = 644,064.67

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.