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Finding the Third Proportional to 325,846.13 and 682,857

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Solution

The third proportional to 325,846.13 and 682,857 is: 1,431,024.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,846.13 : 682,857 = 682,857 : x
  2. Step 2: Convert to fraction form
    325,846.13/682,857 = 682,857/x
  3. Step 3: Cross multiply
    325,846.13x = 682,857 × 682,857
  4. Step 4: Simplify right side
    325,846.13x = 466,293,682,449
  5. Step 5: Solve for x
    x = 466,293,682,449/325,846.13
  6. Step 6: Final answer
    x = 1,431,024.18

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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.