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Finding the Third Proportional to 222,927 and 482,214

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Solution

The third proportional to 222,927 and 482,214 is: 1,043,078.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,927 : 482,214 = 482,214 : x
  2. Step 2: Convert to fraction form
    222,927/482,214 = 482,214/x
  3. Step 3: Cross multiply
    222,927x = 482,214 × 482,214
  4. Step 4: Simplify right side
    222,927x = 232,530,341,796
  5. Step 5: Solve for x
    x = 232,530,341,796/222,927
  6. Step 6: Final answer
    x = 1,043,078.41

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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.