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Finding the Third Proportional to 629,343.84 and 967,906.97

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Solution

The third proportional to 629,343.84 and 967,906.97 is: 1,488,604.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,343.84 : 967,906.97 = 967,906.97 : x
  2. Step 2: Convert to fraction form
    629,343.84/967,906.97 = 967,906.97/x
  3. Step 3: Cross multiply
    629,343.84x = 967,906.97 × 967,906.97
  4. Step 4: Simplify right side
    629,343.84x = 936,843,900,154.81
  5. Step 5: Solve for x
    x = 936,843,900,154.81/629,343.84
  6. Step 6: Final answer
    x = 1,488,604.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.