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Finding the Third Proportional to 222,961 and 488,213

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Solution

The third proportional to 222,961 and 488,213 is: 1,069,029.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,961 : 488,213 = 488,213 : x
  2. Step 2: Convert to fraction form
    222,961/488,213 = 488,213/x
  3. Step 3: Cross multiply
    222,961x = 488,213 × 488,213
  4. Step 4: Simplify right side
    222,961x = 238,351,933,369
  5. Step 5: Solve for x
    x = 238,351,933,369/222,961
  6. Step 6: Final answer
    x = 1,069,029.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.