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Finding the Third Proportional to 322,760 and 683,914

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Solution

The third proportional to 322,760 and 683,914 is: 1,449,183.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,760 : 683,914 = 683,914 : x
  2. Step 2: Convert to fraction form
    322,760/683,914 = 683,914/x
  3. Step 3: Cross multiply
    322,760x = 683,914 × 683,914
  4. Step 4: Simplify right side
    322,760x = 467,738,359,396
  5. Step 5: Solve for x
    x = 467,738,359,396/322,760
  6. Step 6: Final answer
    x = 1,449,183.17

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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.