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Finding the Third Proportional to 227,538 and 489,960

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Solution

The third proportional to 227,538 and 489,960 is: 1,055,036.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,538 : 489,960 = 489,960 : x
  2. Step 2: Convert to fraction form
    227,538/489,960 = 489,960/x
  3. Step 3: Cross multiply
    227,538x = 489,960 × 489,960
  4. Step 4: Simplify right side
    227,538x = 240,060,801,600
  5. Step 5: Solve for x
    x = 240,060,801,600/227,538
  6. Step 6: Final answer
    x = 1,055,036.09

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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.