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Finding the Third Proportional to 227,684 and 489,811

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Solution

The third proportional to 227,684 and 489,811 is: 1,053,718.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,684 : 489,811 = 489,811 : x
  2. Step 2: Convert to fraction form
    227,684/489,811 = 489,811/x
  3. Step 3: Cross multiply
    227,684x = 489,811 × 489,811
  4. Step 4: Simplify right side
    227,684x = 239,914,815,721
  5. Step 5: Solve for x
    x = 239,914,815,721/227,684
  6. Step 6: Final answer
    x = 1,053,718.38

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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.