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Finding the Third Proportional to 378,799 and 574,577

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Solution

The third proportional to 378,799 and 574,577 is: 871,540.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,799 : 574,577 = 574,577 : x
  2. Step 2: Convert to fraction form
    378,799/574,577 = 574,577/x
  3. Step 3: Cross multiply
    378,799x = 574,577 × 574,577
  4. Step 4: Simplify right side
    378,799x = 330,138,728,929
  5. Step 5: Solve for x
    x = 330,138,728,929/378,799
  6. Step 6: Final answer
    x = 871,540.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.