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Finding the Third Proportional to 629,456 and 962,544

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Solution

The third proportional to 629,456 and 962,544 is: 1,471,891.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,456 : 962,544 = 962,544 : x
  2. Step 2: Convert to fraction form
    629,456/962,544 = 962,544/x
  3. Step 3: Cross multiply
    629,456x = 962,544 × 962,544
  4. Step 4: Simplify right side
    629,456x = 926,490,951,936
  5. Step 5: Solve for x
    x = 926,490,951,936/629,456
  6. Step 6: Final answer
    x = 1,471,891.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.