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Finding the Third Proportional to 266,536 and 629,199

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Solution

The third proportional to 266,536 and 629,199 is: 1,485,320.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,536 : 629,199 = 629,199 : x
  2. Step 2: Convert to fraction form
    266,536/629,199 = 629,199/x
  3. Step 3: Cross multiply
    266,536x = 629,199 × 629,199
  4. Step 4: Simplify right side
    266,536x = 395,891,381,601
  5. Step 5: Solve for x
    x = 395,891,381,601/266,536
  6. Step 6: Final answer
    x = 1,485,320.49

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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.