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Finding the Third Proportional to 241,504 and 476,917

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Solution

The third proportional to 241,504 and 476,917 is: 941,805.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,504 : 476,917 = 476,917 : x
  2. Step 2: Convert to fraction form
    241,504/476,917 = 476,917/x
  3. Step 3: Cross multiply
    241,504x = 476,917 × 476,917
  4. Step 4: Simplify right side
    241,504x = 227,449,824,889
  5. Step 5: Solve for x
    x = 227,449,824,889/241,504
  6. Step 6: Final answer
    x = 941,805.62

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.