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Finding the Third Proportional to 392,999 and 593,234

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Solution

The third proportional to 392,999 and 593,234 is: 895,489.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,999 : 593,234 = 593,234 : x
  2. Step 2: Convert to fraction form
    392,999/593,234 = 593,234/x
  3. Step 3: Cross multiply
    392,999x = 593,234 × 593,234
  4. Step 4: Simplify right side
    392,999x = 351,926,578,756
  5. Step 5: Solve for x
    x = 351,926,578,756/392,999
  6. Step 6: Final answer
    x = 895,489.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.