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Finding the Third Proportional to 366,314 and 629,621

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Solution

The third proportional to 366,314 and 629,621 is: 1,082,193.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,314 : 629,621 = 629,621 : x
  2. Step 2: Convert to fraction form
    366,314/629,621 = 629,621/x
  3. Step 3: Cross multiply
    366,314x = 629,621 × 629,621
  4. Step 4: Simplify right side
    366,314x = 396,422,603,641
  5. Step 5: Solve for x
    x = 396,422,603,641/366,314
  6. Step 6: Final answer
    x = 1,082,193.43

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.