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Finding the Third Proportional to 222,285 and 479,322

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Solution

The third proportional to 222,285 and 479,322 is: 1,033,581.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,285 : 479,322 = 479,322 : x
  2. Step 2: Convert to fraction form
    222,285/479,322 = 479,322/x
  3. Step 3: Cross multiply
    222,285x = 479,322 × 479,322
  4. Step 4: Simplify right side
    222,285x = 229,749,579,684
  5. Step 5: Solve for x
    x = 229,749,579,684/222,285
  6. Step 6: Final answer
    x = 1,033,581.12

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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.