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Finding the Third Proportional to 241,564 and 518,192

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Solution

The third proportional to 241,564 and 518,192 is: 1,111,601.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,564 : 518,192 = 518,192 : x
  2. Step 2: Convert to fraction form
    241,564/518,192 = 518,192/x
  3. Step 3: Cross multiply
    241,564x = 518,192 × 518,192
  4. Step 4: Simplify right side
    241,564x = 268,522,948,864
  5. Step 5: Solve for x
    x = 268,522,948,864/241,564
  6. Step 6: Final answer
    x = 1,111,601.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.