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Finding the Third Proportional to 227,516 and 489,916

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Solution

The third proportional to 227,516 and 489,916 is: 1,054,948.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,516 : 489,916 = 489,916 : x
  2. Step 2: Convert to fraction form
    227,516/489,916 = 489,916/x
  3. Step 3: Cross multiply
    227,516x = 489,916 × 489,916
  4. Step 4: Simplify right side
    227,516x = 240,017,687,056
  5. Step 5: Solve for x
    x = 240,017,687,056/227,516
  6. Step 6: Final answer
    x = 1,054,948.61

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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.