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Finding the Third Proportional to 227,932 and 489,093

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Solution

The third proportional to 227,932 and 489,093 is: 1,049,488.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,932 : 489,093 = 489,093 : x
  2. Step 2: Convert to fraction form
    227,932/489,093 = 489,093/x
  3. Step 3: Cross multiply
    227,932x = 489,093 × 489,093
  4. Step 4: Simplify right side
    227,932x = 239,211,962,649
  5. Step 5: Solve for x
    x = 239,211,962,649/227,932
  6. Step 6: Final answer
    x = 1,049,488.28

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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.