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Finding the Third Proportional to 378,675 and 816,399

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Solution

The third proportional to 378,675 and 816,399 is: 1,760,103.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,675 : 816,399 = 816,399 : x
  2. Step 2: Convert to fraction form
    378,675/816,399 = 816,399/x
  3. Step 3: Cross multiply
    378,675x = 816,399 × 816,399
  4. Step 4: Simplify right side
    378,675x = 666,507,327,201
  5. Step 5: Solve for x
    x = 666,507,327,201/378,675
  6. Step 6: Final answer
    x = 1,760,103.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.