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Finding the Third Proportional to 331,304 and 441,400

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Solution

The third proportional to 331,304 and 441,400 is: 588,082.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,304 : 441,400 = 441,400 : x
  2. Step 2: Convert to fraction form
    331,304/441,400 = 441,400/x
  3. Step 3: Cross multiply
    331,304x = 441,400 × 441,400
  4. Step 4: Simplify right side
    331,304x = 194,833,960,000
  5. Step 5: Solve for x
    x = 194,833,960,000/331,304
  6. Step 6: Final answer
    x = 588,082.12

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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.