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Finding the Third Proportional to 222,451 and 479,896

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Solution

The third proportional to 222,451 and 479,896 is: 1,035,284.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,451 : 479,896 = 479,896 : x
  2. Step 2: Convert to fraction form
    222,451/479,896 = 479,896/x
  3. Step 3: Cross multiply
    222,451x = 479,896 × 479,896
  4. Step 4: Simplify right side
    222,451x = 230,300,170,816
  5. Step 5: Solve for x
    x = 230,300,170,816/222,451
  6. Step 6: Final answer
    x = 1,035,284.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.