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Finding the Third Proportional to 227,676 and 489,794

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Solution

The third proportional to 227,676 and 489,794 is: 1,053,682.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,676 : 489,794 = 489,794 : x
  2. Step 2: Convert to fraction form
    227,676/489,794 = 489,794/x
  3. Step 3: Cross multiply
    227,676x = 489,794 × 489,794
  4. Step 4: Simplify right side
    227,676x = 239,898,162,436
  5. Step 5: Solve for x
    x = 239,898,162,436/227,676
  6. Step 6: Final answer
    x = 1,053,682.26

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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.