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Finding the Third Proportional to 225,222 and 489,384

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Solution

The third proportional to 225,222 and 489,384 is: 1,063,380.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,222 : 489,384 = 489,384 : x
  2. Step 2: Convert to fraction form
    225,222/489,384 = 489,384/x
  3. Step 3: Cross multiply
    225,222x = 489,384 × 489,384
  4. Step 4: Simplify right side
    225,222x = 239,496,699,456
  5. Step 5: Solve for x
    x = 239,496,699,456/225,222
  6. Step 6: Final answer
    x = 1,063,380.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.