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Finding the Third Proportional to 275,193.75 and 420,996.75

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Solution

The third proportional to 275,193.75 and 420,996.75 is: 644,049.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,193.75 : 420,996.75 = 420,996.75 : x
  2. Step 2: Convert to fraction form
    275,193.75/420,996.75 = 420,996.75/x
  3. Step 3: Cross multiply
    275,193.75x = 420,996.75 × 420,996.75
  4. Step 4: Simplify right side
    275,193.75x = 177,238,263,510.56
  5. Step 5: Solve for x
    x = 177,238,263,510.56/275,193.75
  6. Step 6: Final answer
    x = 644,049.01

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Why These Related Problems?

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