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Finding the Third Proportional to 383,049 and 833,348.25

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Solution

The third proportional to 383,049 and 833,348.25 is: 1,813,003.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,049 : 833,348.25 = 833,348.25 : x
  2. Step 2: Convert to fraction form
    383,049/833,348.25 = 833,348.25/x
  3. Step 3: Cross multiply
    383,049x = 833,348.25 × 833,348.25
  4. Step 4: Simplify right side
    383,049x = 694,469,305,778.06
  5. Step 5: Solve for x
    x = 694,469,305,778.06/383,049
  6. Step 6: Final answer
    x = 1,813,003.83

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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.