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Finding the Third Proportional to 393,230 and 593,067

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Solution

The third proportional to 393,230 and 593,067 is: 894,459.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,230 : 593,067 = 593,067 : x
  2. Step 2: Convert to fraction form
    393,230/593,067 = 593,067/x
  3. Step 3: Cross multiply
    393,230x = 593,067 × 593,067
  4. Step 4: Simplify right side
    393,230x = 351,728,466,489
  5. Step 5: Solve for x
    x = 351,728,466,489/393,230
  6. Step 6: Final answer
    x = 894,459.90

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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.