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Finding the Third Proportional to 332,221.82 and 498,230.21

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Solution

The third proportional to 332,221.82 and 498,230.21 is: 747,191.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,221.82 : 498,230.21 = 498,230.21 : x
  2. Step 2: Convert to fraction form
    332,221.82/498,230.21 = 498,230.21/x
  3. Step 3: Cross multiply
    332,221.82x = 498,230.21 × 498,230.21
  4. Step 4: Simplify right side
    332,221.82x = 248,233,341,144.60
  5. Step 5: Solve for x
    x = 248,233,341,144.60/332,221.82
  6. Step 6: Final answer
    x = 747,191.57

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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.