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Finding the Third Proportional to 331,348 and 441,466

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Solution

The third proportional to 331,348 and 441,466 is: 588,179.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,348 : 441,466 = 441,466 : x
  2. Step 2: Convert to fraction form
    331,348/441,466 = 441,466/x
  3. Step 3: Cross multiply
    331,348x = 441,466 × 441,466
  4. Step 4: Simplify right side
    331,348x = 194,892,229,156
  5. Step 5: Solve for x
    x = 194,892,229,156/331,348
  6. Step 6: Final answer
    x = 588,179.89

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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.