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Finding the Third Proportional to 325,871 and 682,891

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Solution

The third proportional to 325,871 and 682,891 is: 1,431,057.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,871 : 682,891 = 682,891 : x
  2. Step 2: Convert to fraction form
    325,871/682,891 = 682,891/x
  3. Step 3: Cross multiply
    325,871x = 682,891 × 682,891
  4. Step 4: Simplify right side
    325,871x = 466,340,117,881
  5. Step 5: Solve for x
    x = 466,340,117,881/325,871
  6. Step 6: Final answer
    x = 1,431,057.44

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.