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Finding the Third Proportional to 266,533 and 629,191

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Solution

The third proportional to 266,533 and 629,191 is: 1,485,299.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,533 : 629,191 = 629,191 : x
  2. Step 2: Convert to fraction form
    266,533/629,191 = 629,191/x
  3. Step 3: Cross multiply
    266,533x = 629,191 × 629,191
  4. Step 4: Simplify right side
    266,533x = 395,881,314,481
  5. Step 5: Solve for x
    x = 395,881,314,481/266,533
  6. Step 6: Final answer
    x = 1,485,299.44

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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.