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Finding the Third Proportional to 236,385 and 518,694

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Solution

The third proportional to 236,385 and 518,694 is: 1,138,157.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,385 : 518,694 = 518,694 : x
  2. Step 2: Convert to fraction form
    236,385/518,694 = 518,694/x
  3. Step 3: Cross multiply
    236,385x = 518,694 × 518,694
  4. Step 4: Simplify right side
    236,385x = 269,043,465,636
  5. Step 5: Solve for x
    x = 269,043,465,636/236,385
  6. Step 6: Final answer
    x = 1,138,157.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.