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Finding the Third Proportional to 296,892 and 647,067

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Solution

The third proportional to 296,892 and 647,067 is: 1,410,262.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,892 : 647,067 = 647,067 : x
  2. Step 2: Convert to fraction form
    296,892/647,067 = 647,067/x
  3. Step 3: Cross multiply
    296,892x = 647,067 × 647,067
  4. Step 4: Simplify right side
    296,892x = 418,695,702,489
  5. Step 5: Solve for x
    x = 418,695,702,489/296,892
  6. Step 6: Final answer
    x = 1,410,262.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.