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Finding the Third Proportional to 221,625 and 489,906

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Solution

The third proportional to 221,625 and 489,906 is: 1,082,945.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,625 : 489,906 = 489,906 : x
  2. Step 2: Convert to fraction form
    221,625/489,906 = 489,906/x
  3. Step 3: Cross multiply
    221,625x = 489,906 × 489,906
  4. Step 4: Simplify right side
    221,625x = 240,007,888,836
  5. Step 5: Solve for x
    x = 240,007,888,836/221,625
  6. Step 6: Final answer
    x = 1,082,945.92

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.