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Finding the Third Proportional to 227,801 and 500,242

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Solution

The third proportional to 227,801 and 500,242 is: 1,098,511.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,801 : 500,242 = 500,242 : x
  2. Step 2: Convert to fraction form
    227,801/500,242 = 500,242/x
  3. Step 3: Cross multiply
    227,801x = 500,242 × 500,242
  4. Step 4: Simplify right side
    227,801x = 250,242,058,564
  5. Step 5: Solve for x
    x = 250,242,058,564/227,801
  6. Step 6: Final answer
    x = 1,098,511.68

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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.