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Finding the Third Proportional to 331,325 and 441,433

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Solution

The third proportional to 331,325 and 441,433 is: 588,132.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,325 : 441,433 = 441,433 : x
  2. Step 2: Convert to fraction form
    331,325/441,433 = 441,433/x
  3. Step 3: Cross multiply
    331,325x = 441,433 × 441,433
  4. Step 4: Simplify right side
    331,325x = 194,863,093,489
  5. Step 5: Solve for x
    x = 194,863,093,489/331,325
  6. Step 6: Final answer
    x = 588,132.78

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.