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Finding the Third Proportional to 378,867 and 810,267

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Solution

The third proportional to 378,867 and 810,267 is: 1,732,884.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,867 : 810,267 = 810,267 : x
  2. Step 2: Convert to fraction form
    378,867/810,267 = 810,267/x
  3. Step 3: Cross multiply
    378,867x = 810,267 × 810,267
  4. Step 4: Simplify right side
    378,867x = 656,532,611,289
  5. Step 5: Solve for x
    x = 656,532,611,289/378,867
  6. Step 6: Final answer
    x = 1,732,884.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.