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Finding the Third Proportional to 241,194 and 488,956

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Solution

The third proportional to 241,194 and 488,956 is: 991,226.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,194 : 488,956 = 488,956 : x
  2. Step 2: Convert to fraction form
    241,194/488,956 = 488,956/x
  3. Step 3: Cross multiply
    241,194x = 488,956 × 488,956
  4. Step 4: Simplify right side
    241,194x = 239,077,969,936
  5. Step 5: Solve for x
    x = 239,077,969,936/241,194
  6. Step 6: Final answer
    x = 991,226.85

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.