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Finding the Third Proportional to 263,027 and 406,817

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Solution

The third proportional to 263,027 and 406,817 is: 629,213.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,027 : 406,817 = 406,817 : x
  2. Step 2: Convert to fraction form
    263,027/406,817 = 406,817/x
  3. Step 3: Cross multiply
    263,027x = 406,817 × 406,817
  4. Step 4: Simplify right side
    263,027x = 165,500,071,489
  5. Step 5: Solve for x
    x = 165,500,071,489/263,027
  6. Step 6: Final answer
    x = 629,213.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.