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Finding the Third Proportional to 222,620 and 333,874

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Solution

The third proportional to 222,620 and 333,874 is: 500,727.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,620 : 333,874 = 333,874 : x
  2. Step 2: Convert to fraction form
    222,620/333,874 = 333,874/x
  3. Step 3: Cross multiply
    222,620x = 333,874 × 333,874
  4. Step 4: Simplify right side
    222,620x = 111,471,847,876
  5. Step 5: Solve for x
    x = 111,471,847,876/222,620
  6. Step 6: Final answer
    x = 500,727.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.