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Finding the Third Proportional to 237,912 and 523,137

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Solution

The third proportional to 237,912 and 523,137 is: 1,150,309.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,912 : 523,137 = 523,137 : x
  2. Step 2: Convert to fraction form
    237,912/523,137 = 523,137/x
  3. Step 3: Cross multiply
    237,912x = 523,137 × 523,137
  4. Step 4: Simplify right side
    237,912x = 273,672,320,769
  5. Step 5: Solve for x
    x = 273,672,320,769/237,912
  6. Step 6: Final answer
    x = 1,150,309.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.