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Finding the Third Proportional to 236,540 and 512,451

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Solution

The third proportional to 236,540 and 512,451 is: 1,110,197.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,540 : 512,451 = 512,451 : x
  2. Step 2: Convert to fraction form
    236,540/512,451 = 512,451/x
  3. Step 3: Cross multiply
    236,540x = 512,451 × 512,451
  4. Step 4: Simplify right side
    236,540x = 262,606,027,401
  5. Step 5: Solve for x
    x = 262,606,027,401/236,540
  6. Step 6: Final answer
    x = 1,110,197.12

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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.