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Finding the Third Proportional to 332,241 and 498,259

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Solution

The third proportional to 332,241 and 498,259 is: 747,234.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,241 : 498,259 = 498,259 : x
  2. Step 2: Convert to fraction form
    332,241/498,259 = 498,259/x
  3. Step 3: Cross multiply
    332,241x = 498,259 × 498,259
  4. Step 4: Simplify right side
    332,241x = 248,262,031,081
  5. Step 5: Solve for x
    x = 248,262,031,081/332,241
  6. Step 6: Final answer
    x = 747,234.78

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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.