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Finding the Third Proportional to 227,904 and 490,851

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Solution

The third proportional to 227,904 and 490,851 is: 1,057,176.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,904 : 490,851 = 490,851 : x
  2. Step 2: Convert to fraction form
    227,904/490,851 = 490,851/x
  3. Step 3: Cross multiply
    227,904x = 490,851 × 490,851
  4. Step 4: Simplify right side
    227,904x = 240,934,704,201
  5. Step 5: Solve for x
    x = 240,934,704,201/227,904
  6. Step 6: Final answer
    x = 1,057,176.29

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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.