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Finding the Third Proportional to 263,193 and 393,035

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Solution

The third proportional to 263,193 and 393,035 is: 586,932.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,193 : 393,035 = 393,035 : x
  2. Step 2: Convert to fraction form
    263,193/393,035 = 393,035/x
  3. Step 3: Cross multiply
    263,193x = 393,035 × 393,035
  4. Step 4: Simplify right side
    263,193x = 154,476,511,225
  5. Step 5: Solve for x
    x = 154,476,511,225/263,193
  6. Step 6: Final answer
    x = 586,932.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.