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Finding the Third Proportional to 239,817 and 518,057

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Solution

The third proportional to 239,817 and 518,057 is: 1,119,116.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,817 : 518,057 = 518,057 : x
  2. Step 2: Convert to fraction form
    239,817/518,057 = 518,057/x
  3. Step 3: Cross multiply
    239,817x = 518,057 × 518,057
  4. Step 4: Simplify right side
    239,817x = 268,383,055,249
  5. Step 5: Solve for x
    x = 268,383,055,249/239,817
  6. Step 6: Final answer
    x = 1,119,116.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.