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Finding the Third Proportional to 275,206 and 366,983

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Solution

The third proportional to 275,206 and 366,983 is: 489,366.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,206 : 366,983 = 366,983 : x
  2. Step 2: Convert to fraction form
    275,206/366,983 = 366,983/x
  3. Step 3: Cross multiply
    275,206x = 366,983 × 366,983
  4. Step 4: Simplify right side
    275,206x = 134,676,522,289
  5. Step 5: Solve for x
    x = 134,676,522,289/275,206
  6. Step 6: Final answer
    x = 489,366.23

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.