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Finding the Third Proportional to 227,867 and 490,792

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Solution

The third proportional to 227,867 and 490,792 is: 1,057,093.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,867 : 490,792 = 490,792 : x
  2. Step 2: Convert to fraction form
    227,867/490,792 = 490,792/x
  3. Step 3: Cross multiply
    227,867x = 490,792 × 490,792
  4. Step 4: Simplify right side
    227,867x = 240,876,787,264
  5. Step 5: Solve for x
    x = 240,876,787,264/227,867
  6. Step 6: Final answer
    x = 1,057,093.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.