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Finding the Third Proportional to 225,921 and 489,035

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Solution

The third proportional to 225,921 and 489,035 is: 1,058,579.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,921 : 489,035 = 489,035 : x
  2. Step 2: Convert to fraction form
    225,921/489,035 = 489,035/x
  3. Step 3: Cross multiply
    225,921x = 489,035 × 489,035
  4. Step 4: Simplify right side
    225,921x = 239,155,231,225
  5. Step 5: Solve for x
    x = 239,155,231,225/225,921
  6. Step 6: Final answer
    x = 1,058,579.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.