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Finding the Third Proportional to 322,467 and 683,349

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Solution

The third proportional to 322,467 and 683,349 is: 1,448,104.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,467 : 683,349 = 683,349 : x
  2. Step 2: Convert to fraction form
    322,467/683,349 = 683,349/x
  3. Step 3: Cross multiply
    322,467x = 683,349 × 683,349
  4. Step 4: Simplify right side
    322,467x = 466,965,855,801
  5. Step 5: Solve for x
    x = 466,965,855,801/322,467
  6. Step 6: Final answer
    x = 1,448,104.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.