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Finding the Third Proportional to 266,730 and 629,601

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Solution

The third proportional to 266,730 and 629,601 is: 1,486,137.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,730 : 629,601 = 629,601 : x
  2. Step 2: Convert to fraction form
    266,730/629,601 = 629,601/x
  3. Step 3: Cross multiply
    266,730x = 629,601 × 629,601
  4. Step 4: Simplify right side
    266,730x = 396,397,419,201
  5. Step 5: Solve for x
    x = 396,397,419,201/266,730
  6. Step 6: Final answer
    x = 1,486,137.36

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.