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Finding the Third Proportional to 227,856 and 490,772.25

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Solution

The third proportional to 227,856 and 490,772.25 is: 1,057,059.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,856 : 490,772.25 = 490,772.25 : x
  2. Step 2: Convert to fraction form
    227,856/490,772.25 = 490,772.25/x
  3. Step 3: Cross multiply
    227,856x = 490,772.25 × 490,772.25
  4. Step 4: Simplify right side
    227,856x = 240,857,401,370.06
  5. Step 5: Solve for x
    x = 240,857,401,370.06/227,856
  6. Step 6: Final answer
    x = 1,057,059.73

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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.