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Finding the Third Proportional to 330,682.50 and 496,469.25

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Solution

The third proportional to 330,682.50 and 496,469.25 is: 745,372.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,682.50 : 496,469.25 = 496,469.25 : x
  2. Step 2: Convert to fraction form
    330,682.50/496,469.25 = 496,469.25/x
  3. Step 3: Cross multiply
    330,682.50x = 496,469.25 × 496,469.25
  4. Step 4: Simplify right side
    330,682.50x = 246,481,716,195.56
  5. Step 5: Solve for x
    x = 246,481,716,195.56/330,682.50
  6. Step 6: Final answer
    x = 745,372.73

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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.