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Finding the Third Proportional to 382,275 and 810,126

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Solution

The third proportional to 382,275 and 810,126 is: 1,716,837.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,275 : 810,126 = 810,126 : x
  2. Step 2: Convert to fraction form
    382,275/810,126 = 810,126/x
  3. Step 3: Cross multiply
    382,275x = 810,126 × 810,126
  4. Step 4: Simplify right side
    382,275x = 656,304,135,876
  5. Step 5: Solve for x
    x = 656,304,135,876/382,275
  6. Step 6: Final answer
    x = 1,716,837.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.