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Finding the Third Proportional to 241,682 and 518,366

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Solution

The third proportional to 241,682 and 518,366 is: 1,111,805.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,682 : 518,366 = 518,366 : x
  2. Step 2: Convert to fraction form
    241,682/518,366 = 518,366/x
  3. Step 3: Cross multiply
    241,682x = 518,366 × 518,366
  4. Step 4: Simplify right side
    241,682x = 268,703,309,956
  5. Step 5: Solve for x
    x = 268,703,309,956/241,682
  6. Step 6: Final answer
    x = 1,111,805.22

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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.