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Finding the Third Proportional to 227,166 and 500,016

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Solution

The third proportional to 227,166 and 500,016 is: 1,100,587.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,166 : 500,016 = 500,016 : x
  2. Step 2: Convert to fraction form
    227,166/500,016 = 500,016/x
  3. Step 3: Cross multiply
    227,166x = 500,016 × 500,016
  4. Step 4: Simplify right side
    227,166x = 250,016,000,256
  5. Step 5: Solve for x
    x = 250,016,000,256/227,166
  6. Step 6: Final answer
    x = 1,100,587.24

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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.