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Finding the Third Proportional to 241,191 and 488,943

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Solution

The third proportional to 241,191 and 488,943 is: 991,186.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,191 : 488,943 = 488,943 : x
  2. Step 2: Convert to fraction form
    241,191/488,943 = 488,943/x
  3. Step 3: Cross multiply
    241,191x = 488,943 × 488,943
  4. Step 4: Simplify right side
    241,191x = 239,065,257,249
  5. Step 5: Solve for x
    x = 239,065,257,249/241,191
  6. Step 6: Final answer
    x = 991,186.48

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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.