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Finding the Third Proportional to 629,350 and 967,917

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Solution

The third proportional to 629,350 and 967,917 is: 1,488,620.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,350 : 967,917 = 967,917 : x
  2. Step 2: Convert to fraction form
    629,350/967,917 = 967,917/x
  3. Step 3: Cross multiply
    629,350x = 967,917 × 967,917
  4. Step 4: Simplify right side
    629,350x = 936,863,318,889
  5. Step 5: Solve for x
    x = 936,863,318,889/629,350
  6. Step 6: Final answer
    x = 1,488,620.51

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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.