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Finding the Third Proportional to 327,367 and 510,948

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Solution

The third proportional to 327,367 and 510,948 is: 797,477.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,367 : 510,948 = 510,948 : x
  2. Step 2: Convert to fraction form
    327,367/510,948 = 510,948/x
  3. Step 3: Cross multiply
    327,367x = 510,948 × 510,948
  4. Step 4: Simplify right side
    327,367x = 261,067,858,704
  5. Step 5: Solve for x
    x = 261,067,858,704/327,367
  6. Step 6: Final answer
    x = 797,477.63

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.