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Finding the Third Proportional to 266,640.75 and 629,421.75

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Solution

The third proportional to 266,640.75 and 629,421.75 is: 1,485,788.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,640.75 : 629,421.75 = 629,421.75 : x
  2. Step 2: Convert to fraction form
    266,640.75/629,421.75 = 629,421.75/x
  3. Step 3: Cross multiply
    266,640.75x = 629,421.75 × 629,421.75
  4. Step 4: Simplify right side
    266,640.75x = 396,171,739,373.06
  5. Step 5: Solve for x
    x = 396,171,739,373.06/266,640.75
  6. Step 6: Final answer
    x = 1,485,788.42

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