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Finding the Third Proportional to 366,871 and 800,993

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Solution

The third proportional to 366,871 and 800,993 is: 1,748,815.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,871 : 800,993 = 800,993 : x
  2. Step 2: Convert to fraction form
    366,871/800,993 = 800,993/x
  3. Step 3: Cross multiply
    366,871x = 800,993 × 800,993
  4. Step 4: Simplify right side
    366,871x = 641,589,786,049
  5. Step 5: Solve for x
    x = 641,589,786,049/366,871
  6. Step 6: Final answer
    x = 1,748,815.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.