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Finding the Third Proportional to 275,847 and 414,049.50

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Solution

The third proportional to 275,847 and 414,049.50 is: 621,493.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,847 : 414,049.50 = 414,049.50 : x
  2. Step 2: Convert to fraction form
    275,847/414,049.50 = 414,049.50/x
  3. Step 3: Cross multiply
    275,847x = 414,049.50 × 414,049.50
  4. Step 4: Simplify right side
    275,847x = 171,436,988,450.25
  5. Step 5: Solve for x
    x = 171,436,988,450.25/275,847
  6. Step 6: Final answer
    x = 621,493.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.