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Finding the Third Proportional to 262,517 and 396,179

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Solution

The third proportional to 262,517 and 396,179 is: 597,895.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,517 : 396,179 = 396,179 : x
  2. Step 2: Convert to fraction form
    262,517/396,179 = 396,179/x
  3. Step 3: Cross multiply
    262,517x = 396,179 × 396,179
  4. Step 4: Simplify right side
    262,517x = 156,957,800,041
  5. Step 5: Solve for x
    x = 156,957,800,041/262,517
  6. Step 6: Final answer
    x = 597,895.76

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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.