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Finding the Third Proportional to 238,474 and 523,964

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Solution

The third proportional to 238,474 and 523,964 is: 1,151,229.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,474 : 523,964 = 523,964 : x
  2. Step 2: Convert to fraction form
    238,474/523,964 = 523,964/x
  3. Step 3: Cross multiply
    238,474x = 523,964 × 523,964
  4. Step 4: Simplify right side
    238,474x = 274,538,273,296
  5. Step 5: Solve for x
    x = 274,538,273,296/238,474
  6. Step 6: Final answer
    x = 1,151,229.37

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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.