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Finding the Third Proportional to 266,787 and 406,956

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Solution

The third proportional to 266,787 and 406,956 is: 620,769.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,787 : 406,956 = 406,956 : x
  2. Step 2: Convert to fraction form
    266,787/406,956 = 406,956/x
  3. Step 3: Cross multiply
    266,787x = 406,956 × 406,956
  4. Step 4: Simplify right side
    266,787x = 165,613,185,936
  5. Step 5: Solve for x
    x = 165,613,185,936/266,787
  6. Step 6: Final answer
    x = 620,769.33

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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.