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Finding the Third Proportional to 331,324 and 441,427

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Solution

The third proportional to 331,324 and 441,427 is: 588,118.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,324 : 441,427 = 441,427 : x
  2. Step 2: Convert to fraction form
    331,324/441,427 = 441,427/x
  3. Step 3: Cross multiply
    331,324x = 441,427 × 441,427
  4. Step 4: Simplify right side
    331,324x = 194,857,796,329
  5. Step 5: Solve for x
    x = 194,857,796,329/331,324
  6. Step 6: Final answer
    x = 588,118.57

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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.