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Finding the Third Proportional to 236,039 and 518,734

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Solution

The third proportional to 236,039 and 518,734 is: 1,140,002.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,039 : 518,734 = 518,734 : x
  2. Step 2: Convert to fraction form
    236,039/518,734 = 518,734/x
  3. Step 3: Cross multiply
    236,039x = 518,734 × 518,734
  4. Step 4: Simplify right side
    236,039x = 269,084,962,756
  5. Step 5: Solve for x
    x = 269,084,962,756/236,039
  6. Step 6: Final answer
    x = 1,140,002.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.