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Finding the Third Proportional to 239,240 and 518,116

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Solution

The third proportional to 239,240 and 518,116 is: 1,122,070.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,240 : 518,116 = 518,116 : x
  2. Step 2: Convert to fraction form
    239,240/518,116 = 518,116/x
  3. Step 3: Cross multiply
    239,240x = 518,116 × 518,116
  4. Step 4: Simplify right side
    239,240x = 268,444,189,456
  5. Step 5: Solve for x
    x = 268,444,189,456/239,240
  6. Step 6: Final answer
    x = 1,122,070.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.