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Finding the Third Proportional to 262,525 and 396,187

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Solution

The third proportional to 262,525 and 396,187 is: 597,901.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,525 : 396,187 = 396,187 : x
  2. Step 2: Convert to fraction form
    262,525/396,187 = 396,187/x
  3. Step 3: Cross multiply
    262,525x = 396,187 × 396,187
  4. Step 4: Simplify right side
    262,525x = 156,964,138,969
  5. Step 5: Solve for x
    x = 156,964,138,969/262,525
  6. Step 6: Final answer
    x = 597,901.68

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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.