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Finding the Third Proportional to 378,242 and 806,548

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Solution

The third proportional to 378,242 and 806,548 is: 1,719,850.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,242 : 806,548 = 806,548 : x
  2. Step 2: Convert to fraction form
    378,242/806,548 = 806,548/x
  3. Step 3: Cross multiply
    378,242x = 806,548 × 806,548
  4. Step 4: Simplify right side
    378,242x = 650,519,676,304
  5. Step 5: Solve for x
    x = 650,519,676,304/378,242
  6. Step 6: Final answer
    x = 1,719,850.46

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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.