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Finding the Third Proportional to 231,694 and 541,302

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Solution

The third proportional to 231,694 and 541,302 is: 1,264,632.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,694 : 541,302 = 541,302 : x
  2. Step 2: Convert to fraction form
    231,694/541,302 = 541,302/x
  3. Step 3: Cross multiply
    231,694x = 541,302 × 541,302
  4. Step 4: Simplify right side
    231,694x = 293,007,855,204
  5. Step 5: Solve for x
    x = 293,007,855,204/231,694
  6. Step 6: Final answer
    x = 1,264,632.90

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.