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Finding the Third Proportional to 266,800 and 406,976

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Solution

The third proportional to 266,800 and 406,976 is: 620,800.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,800 : 406,976 = 406,976 : x
  2. Step 2: Convert to fraction form
    266,800/406,976 = 406,976/x
  3. Step 3: Cross multiply
    266,800x = 406,976 × 406,976
  4. Step 4: Simplify right side
    266,800x = 165,629,464,576
  5. Step 5: Solve for x
    x = 165,629,464,576/266,800
  6. Step 6: Final answer
    x = 620,800.09

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.