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Finding the Third Proportional to 232,067 and 494,482

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Solution

The third proportional to 232,067 and 494,482 is: 1,053,628.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,067 : 494,482 = 494,482 : x
  2. Step 2: Convert to fraction form
    232,067/494,482 = 494,482/x
  3. Step 3: Cross multiply
    232,067x = 494,482 × 494,482
  4. Step 4: Simplify right side
    232,067x = 244,512,448,324
  5. Step 5: Solve for x
    x = 244,512,448,324/232,067
  6. Step 6: Final answer
    x = 1,053,628.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.