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Finding the Third Proportional to 227,857 and 490,775

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Solution

The third proportional to 227,857 and 490,775 is: 1,057,066.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,857 : 490,775 = 490,775 : x
  2. Step 2: Convert to fraction form
    227,857/490,775 = 490,775/x
  3. Step 3: Cross multiply
    227,857x = 490,775 × 490,775
  4. Step 4: Simplify right side
    227,857x = 240,860,100,625
  5. Step 5: Solve for x
    x = 240,860,100,625/227,857
  6. Step 6: Final answer
    x = 1,057,066.94

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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.