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Finding the Third Proportional to 332,022 and 498,276

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Solution

The third proportional to 332,022 and 498,276 is: 747,778.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,022 : 498,276 = 498,276 : x
  2. Step 2: Convert to fraction form
    332,022/498,276 = 498,276/x
  3. Step 3: Cross multiply
    332,022x = 498,276 × 498,276
  4. Step 4: Simplify right side
    332,022x = 248,278,972,176
  5. Step 5: Solve for x
    x = 248,278,972,176/332,022
  6. Step 6: Final answer
    x = 747,778.68

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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.