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Finding the Third Proportional to 241,193 and 488,947

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Solution

The third proportional to 241,193 and 488,947 is: 991,194.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,193 : 488,947 = 488,947 : x
  2. Step 2: Convert to fraction form
    241,193/488,947 = 488,947/x
  3. Step 3: Cross multiply
    241,193x = 488,947 × 488,947
  4. Step 4: Simplify right side
    241,193x = 239,069,168,809
  5. Step 5: Solve for x
    x = 239,069,168,809/241,193
  6. Step 6: Final answer
    x = 991,194.47

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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.