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Finding the Third Proportional to 474,230 and 843,198

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Solution

The third proportional to 474,230 and 843,198 is: 1,499,236.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,230 : 843,198 = 843,198 : x
  2. Step 2: Convert to fraction form
    474,230/843,198 = 843,198/x
  3. Step 3: Cross multiply
    474,230x = 843,198 × 843,198
  4. Step 4: Simplify right side
    474,230x = 710,982,867,204
  5. Step 5: Solve for x
    x = 710,982,867,204/474,230
  6. Step 6: Final answer
    x = 1,499,236.38

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.