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Finding the Third Proportional to 322,476 and 683,368

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Solution

The third proportional to 322,476 and 683,368 is: 1,448,144.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,476 : 683,368 = 683,368 : x
  2. Step 2: Convert to fraction form
    322,476/683,368 = 683,368/x
  3. Step 3: Cross multiply
    322,476x = 683,368 × 683,368
  4. Step 4: Simplify right side
    322,476x = 466,991,823,424
  5. Step 5: Solve for x
    x = 466,991,823,424/322,476
  6. Step 6: Final answer
    x = 1,448,144.43

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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.