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Finding the Third Proportional to 221,948 and 489,141

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Solution

The third proportional to 221,948 and 489,141 is: 1,077,995.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,948 : 489,141 = 489,141 : x
  2. Step 2: Convert to fraction form
    221,948/489,141 = 489,141/x
  3. Step 3: Cross multiply
    221,948x = 489,141 × 489,141
  4. Step 4: Simplify right side
    221,948x = 239,258,917,881
  5. Step 5: Solve for x
    x = 239,258,917,881/221,948
  6. Step 6: Final answer
    x = 1,077,995.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.