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Finding the Third Proportional to 241,698 and 518,376

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Solution

The third proportional to 241,698 and 518,376 is: 1,111,774.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,698 : 518,376 = 518,376 : x
  2. Step 2: Convert to fraction form
    241,698/518,376 = 518,376/x
  3. Step 3: Cross multiply
    241,698x = 518,376 × 518,376
  4. Step 4: Simplify right side
    241,698x = 268,713,677,376
  5. Step 5: Solve for x
    x = 268,713,677,376/241,698
  6. Step 6: Final answer
    x = 1,111,774.52

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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.