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Finding the Third Proportional to 313,892 and 683,832

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Solution

The third proportional to 313,892 and 683,832 is: 1,489,767.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,892 : 683,832 = 683,832 : x
  2. Step 2: Convert to fraction form
    313,892/683,832 = 683,832/x
  3. Step 3: Cross multiply
    313,892x = 683,832 × 683,832
  4. Step 4: Simplify right side
    313,892x = 467,626,204,224
  5. Step 5: Solve for x
    x = 467,626,204,224/313,892
  6. Step 6: Final answer
    x = 1,489,767.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.