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Finding the Third Proportional to 629,361 and 967,932

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Solution

The third proportional to 629,361 and 967,932 is: 1,488,640.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,361 : 967,932 = 967,932 : x
  2. Step 2: Convert to fraction form
    629,361/967,932 = 967,932/x
  3. Step 3: Cross multiply
    629,361x = 967,932 × 967,932
  4. Step 4: Simplify right side
    629,361x = 936,892,356,624
  5. Step 5: Solve for x
    x = 936,892,356,624/629,361
  6. Step 6: Final answer
    x = 1,488,640.63

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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.