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Finding the Third Proportional to 699,536.25 and 827,273.25

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Solution

The third proportional to 699,536.25 and 827,273.25 is: 978,335.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,536.25 : 827,273.25 = 827,273.25 : x
  2. Step 2: Convert to fraction form
    699,536.25/827,273.25 = 827,273.25/x
  3. Step 3: Cross multiply
    699,536.25x = 827,273.25 × 827,273.25
  4. Step 4: Simplify right side
    699,536.25x = 684,381,030,165.56
  5. Step 5: Solve for x
    x = 684,381,030,165.56/699,536.25
  6. Step 6: Final answer
    x = 978,335.33

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.