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Finding the Third Proportional to 222,384 and 453,824

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Solution

The third proportional to 222,384 and 453,824 is: 926,128.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,384 : 453,824 = 453,824 : x
  2. Step 2: Convert to fraction form
    222,384/453,824 = 453,824/x
  3. Step 3: Cross multiply
    222,384x = 453,824 × 453,824
  4. Step 4: Simplify right side
    222,384x = 205,956,222,976
  5. Step 5: Solve for x
    x = 205,956,222,976/222,384
  6. Step 6: Final answer
    x = 926,128.78

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.