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Finding the Third Proportional to 241,750 and 523,676

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Solution

The third proportional to 241,750 and 523,676 is: 1,134,380.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,750 : 523,676 = 523,676 : x
  2. Step 2: Convert to fraction form
    241,750/523,676 = 523,676/x
  3. Step 3: Cross multiply
    241,750x = 523,676 × 523,676
  4. Step 4: Simplify right side
    241,750x = 274,236,552,976
  5. Step 5: Solve for x
    x = 274,236,552,976/241,750
  6. Step 6: Final answer
    x = 1,134,380.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.