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Finding the Third Proportional to 262,530 and 396,197

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Solution

The third proportional to 262,530 and 396,197 is: 597,920.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,530 : 396,197 = 396,197 : x
  2. Step 2: Convert to fraction form
    262,530/396,197 = 396,197/x
  3. Step 3: Cross multiply
    262,530x = 396,197 × 396,197
  4. Step 4: Simplify right side
    262,530x = 156,972,062,809
  5. Step 5: Solve for x
    x = 156,972,062,809/262,530
  6. Step 6: Final answer
    x = 597,920.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.