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Finding the Third Proportional to 392,997 and 593,231

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Solution

The third proportional to 392,997 and 593,231 is: 895,485.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,997 : 593,231 = 593,231 : x
  2. Step 2: Convert to fraction form
    392,997/593,231 = 593,231/x
  3. Step 3: Cross multiply
    392,997x = 593,231 × 593,231
  4. Step 4: Simplify right side
    392,997x = 351,923,019,361
  5. Step 5: Solve for x
    x = 351,923,019,361/392,997
  6. Step 6: Final answer
    x = 895,485.26

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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.