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Finding the Third Proportional to 567,617 and 853,817

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Solution

The third proportional to 567,617 and 853,817 is: 1,284,322.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,617 : 853,817 = 853,817 : x
  2. Step 2: Convert to fraction form
    567,617/853,817 = 853,817/x
  3. Step 3: Cross multiply
    567,617x = 853,817 × 853,817
  4. Step 4: Simplify right side
    567,617x = 729,003,469,489
  5. Step 5: Solve for x
    x = 729,003,469,489/567,617
  6. Step 6: Final answer
    x = 1,284,322.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.