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Finding the Third Proportional to 322,758 and 683,910

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Solution

The third proportional to 322,758 and 683,910 is: 1,449,175.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,758 : 683,910 = 683,910 : x
  2. Step 2: Convert to fraction form
    322,758/683,910 = 683,910/x
  3. Step 3: Cross multiply
    322,758x = 683,910 × 683,910
  4. Step 4: Simplify right side
    322,758x = 467,732,888,100
  5. Step 5: Solve for x
    x = 467,732,888,100/322,758
  6. Step 6: Final answer
    x = 1,449,175.20

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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.