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Finding the Third Proportional to 315,228 and 682,884

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Solution

The third proportional to 315,228 and 682,884 is: 1,479,343.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,228 : 682,884 = 682,884 : x
  2. Step 2: Convert to fraction form
    315,228/682,884 = 682,884/x
  3. Step 3: Cross multiply
    315,228x = 682,884 × 682,884
  4. Step 4: Simplify right side
    315,228x = 466,330,557,456
  5. Step 5: Solve for x
    x = 466,330,557,456/315,228
  6. Step 6: Final answer
    x = 1,479,343.71

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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.