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Finding the Third Proportional to 225,277 and 523,825

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Solution

The third proportional to 225,277 and 523,825 is: 1,218,023.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,277 : 523,825 = 523,825 : x
  2. Step 2: Convert to fraction form
    225,277/523,825 = 523,825/x
  3. Step 3: Cross multiply
    225,277x = 523,825 × 523,825
  4. Step 4: Simplify right side
    225,277x = 274,392,630,625
  5. Step 5: Solve for x
    x = 274,392,630,625/225,277
  6. Step 6: Final answer
    x = 1,218,023.28

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.