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Finding the Third Proportional to 227,819.25 and 527,406.75

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Solution

The third proportional to 227,819.25 and 527,406.75 is: 1,220,958.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,819.25 : 527,406.75 = 527,406.75 : x
  2. Step 2: Convert to fraction form
    227,819.25/527,406.75 = 527,406.75/x
  3. Step 3: Cross multiply
    227,819.25x = 527,406.75 × 527,406.75
  4. Step 4: Simplify right side
    227,819.25x = 278,157,879,945.56
  5. Step 5: Solve for x
    x = 278,157,879,945.56/227,819.25
  6. Step 6: Final answer
    x = 1,220,958.63

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.