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Finding the Third Proportional to 393,251 and 593,099

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Solution

The third proportional to 393,251 and 593,099 is: 894,508.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,251 : 593,099 = 593,099 : x
  2. Step 2: Convert to fraction form
    393,251/593,099 = 593,099/x
  3. Step 3: Cross multiply
    393,251x = 593,099 × 593,099
  4. Step 4: Simplify right side
    393,251x = 351,766,423,801
  5. Step 5: Solve for x
    x = 351,766,423,801/393,251
  6. Step 6: Final answer
    x = 894,508.66

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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.