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Finding the Third Proportional to 331,312 and 441,412

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Solution

The third proportional to 331,312 and 441,412 is: 588,099.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,312 : 441,412 = 441,412 : x
  2. Step 2: Convert to fraction form
    331,312/441,412 = 441,412/x
  3. Step 3: Cross multiply
    331,312x = 441,412 × 441,412
  4. Step 4: Simplify right side
    331,312x = 194,844,553,744
  5. Step 5: Solve for x
    x = 194,844,553,744/331,312
  6. Step 6: Final answer
    x = 588,099.90

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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.