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Finding the Third Proportional to 322,786 and 683,966

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Solution

The third proportional to 322,786 and 683,966 is: 1,449,286.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,786 : 683,966 = 683,966 : x
  2. Step 2: Convert to fraction form
    322,786/683,966 = 683,966/x
  3. Step 3: Cross multiply
    322,786x = 683,966 × 683,966
  4. Step 4: Simplify right side
    322,786x = 467,809,489,156
  5. Step 5: Solve for x
    x = 467,809,489,156/322,786
  6. Step 6: Final answer
    x = 1,449,286.80

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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.