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Finding the Third Proportional to 378,855 and 810,243

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Solution

The third proportional to 378,855 and 810,243 is: 1,732,836.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,855 : 810,243 = 810,243 : x
  2. Step 2: Convert to fraction form
    378,855/810,243 = 810,243/x
  3. Step 3: Cross multiply
    378,855x = 810,243 × 810,243
  4. Step 4: Simplify right side
    378,855x = 656,493,719,049
  5. Step 5: Solve for x
    x = 656,493,719,049/378,855
  6. Step 6: Final answer
    x = 1,732,836.36

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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.