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Finding the Third Proportional to 322,474 and 683,364

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Solution

The third proportional to 322,474 and 683,364 is: 1,448,136.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,474 : 683,364 = 683,364 : x
  2. Step 2: Convert to fraction form
    322,474/683,364 = 683,364/x
  3. Step 3: Cross multiply
    322,474x = 683,364 × 683,364
  4. Step 4: Simplify right side
    322,474x = 466,986,356,496
  5. Step 5: Solve for x
    x = 466,986,356,496/322,474
  6. Step 6: Final answer
    x = 1,448,136.46

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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.