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Finding the Third Proportional to 378,165 and 806,388

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Solution

The third proportional to 378,165 and 806,388 is: 1,719,518.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,165 : 806,388 = 806,388 : x
  2. Step 2: Convert to fraction form
    378,165/806,388 = 806,388/x
  3. Step 3: Cross multiply
    378,165x = 806,388 × 806,388
  4. Step 4: Simplify right side
    378,165x = 650,261,606,544
  5. Step 5: Solve for x
    x = 650,261,606,544/378,165
  6. Step 6: Final answer
    x = 1,719,518.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.