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Finding the Third Proportional to 315,198 and 682,830

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Solution

The third proportional to 315,198 and 682,830 is: 1,479,250.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,198 : 682,830 = 682,830 : x
  2. Step 2: Convert to fraction form
    315,198/682,830 = 682,830/x
  3. Step 3: Cross multiply
    315,198x = 682,830 × 682,830
  4. Step 4: Simplify right side
    315,198x = 466,256,808,900
  5. Step 5: Solve for x
    x = 466,256,808,900/315,198
  6. Step 6: Final answer
    x = 1,479,250.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.