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Finding the Third Proportional to 378,666 and 810,525

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Solution

The third proportional to 378,666 and 810,525 is: 1,734,908.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,666 : 810,525 = 810,525 : x
  2. Step 2: Convert to fraction form
    378,666/810,525 = 810,525/x
  3. Step 3: Cross multiply
    378,666x = 810,525 × 810,525
  4. Step 4: Simplify right side
    378,666x = 656,950,775,625
  5. Step 5: Solve for x
    x = 656,950,775,625/378,666
  6. Step 6: Final answer
    x = 1,734,908.27

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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.