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Finding the Third Proportional to 241,625 and 518,242

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Solution

The third proportional to 241,625 and 518,242 is: 1,111,535.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,625 : 518,242 = 518,242 : x
  2. Step 2: Convert to fraction form
    241,625/518,242 = 518,242/x
  3. Step 3: Cross multiply
    241,625x = 518,242 × 518,242
  4. Step 4: Simplify right side
    241,625x = 268,574,770,564
  5. Step 5: Solve for x
    x = 268,574,770,564/241,625
  6. Step 6: Final answer
    x = 1,111,535.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.