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Finding the Third Proportional to 207,044.81 and 422,797.13

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Solution

The third proportional to 207,044.81 and 422,797.13 is: 863,375.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,044.81 : 422,797.13 = 422,797.13 : x
  2. Step 2: Convert to fraction form
    207,044.81/422,797.13 = 422,797.13/x
  3. Step 3: Cross multiply
    207,044.81x = 422,797.13 × 422,797.13
  4. Step 4: Simplify right side
    207,044.81x = 178,757,408,908.27
  5. Step 5: Solve for x
    x = 178,757,408,908.27/207,044.81
  6. Step 6: Final answer
    x = 863,375.45

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.