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Finding the Third Proportional to 227,902 and 488,917

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Solution

The third proportional to 227,902 and 488,917 is: 1,048,871.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,902 : 488,917 = 488,917 : x
  2. Step 2: Convert to fraction form
    227,902/488,917 = 488,917/x
  3. Step 3: Cross multiply
    227,902x = 488,917 × 488,917
  4. Step 4: Simplify right side
    227,902x = 239,039,832,889
  5. Step 5: Solve for x
    x = 239,039,832,889/227,902
  6. Step 6: Final answer
    x = 1,048,871.15

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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.