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Finding the Third Proportional to 222,923 and 483,187

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Solution

The third proportional to 222,923 and 483,187 is: 1,047,310.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,923 : 483,187 = 483,187 : x
  2. Step 2: Convert to fraction form
    222,923/483,187 = 483,187/x
  3. Step 3: Cross multiply
    222,923x = 483,187 × 483,187
  4. Step 4: Simplify right side
    222,923x = 233,469,676,969
  5. Step 5: Solve for x
    x = 233,469,676,969/222,923
  6. Step 6: Final answer
    x = 1,047,310.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.