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Finding the Third Proportional to 323,391 and 667,529

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Solution

The third proportional to 323,391 and 667,529 is: 1,377,883.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,391 : 667,529 = 667,529 : x
  2. Step 2: Convert to fraction form
    323,391/667,529 = 667,529/x
  3. Step 3: Cross multiply
    323,391x = 667,529 × 667,529
  4. Step 4: Simplify right side
    323,391x = 445,594,965,841
  5. Step 5: Solve for x
    x = 445,594,965,841/323,391
  6. Step 6: Final answer
    x = 1,377,883.01

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.