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Finding the Third Proportional to 236,632 and 513,193

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Solution

The third proportional to 236,632 and 513,193 is: 1,112,981.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,632 : 513,193 = 513,193 : x
  2. Step 2: Convert to fraction form
    236,632/513,193 = 513,193/x
  3. Step 3: Cross multiply
    236,632x = 513,193 × 513,193
  4. Step 4: Simplify right side
    236,632x = 263,367,055,249
  5. Step 5: Solve for x
    x = 263,367,055,249/236,632
  6. Step 6: Final answer
    x = 1,112,981.57

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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.