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Finding the Third Proportional to 222,268 and 486,698

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Solution

The third proportional to 222,268 and 486,698 is: 1,065,717.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,268 : 486,698 = 486,698 : x
  2. Step 2: Convert to fraction form
    222,268/486,698 = 486,698/x
  3. Step 3: Cross multiply
    222,268x = 486,698 × 486,698
  4. Step 4: Simplify right side
    222,268x = 236,874,943,204
  5. Step 5: Solve for x
    x = 236,874,943,204/222,268
  6. Step 6: Final answer
    x = 1,065,717.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.