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Finding the Third Proportional to 222,380 and 453,816

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Solution

The third proportional to 222,380 and 453,816 is: 926,112.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,380 : 453,816 = 453,816 : x
  2. Step 2: Convert to fraction form
    222,380/453,816 = 453,816/x
  3. Step 3: Cross multiply
    222,380x = 453,816 × 453,816
  4. Step 4: Simplify right side
    222,380x = 205,948,961,856
  5. Step 5: Solve for x
    x = 205,948,961,856/222,380
  6. Step 6: Final answer
    x = 926,112.79

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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.