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Finding the Third Proportional to 322,897 and 443,251

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Solution

The third proportional to 322,897 and 443,251 is: 608,464.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,897 : 443,251 = 443,251 : x
  2. Step 2: Convert to fraction form
    322,897/443,251 = 443,251/x
  3. Step 3: Cross multiply
    322,897x = 443,251 × 443,251
  4. Step 4: Simplify right side
    322,897x = 196,471,449,001
  5. Step 5: Solve for x
    x = 196,471,449,001/322,897
  6. Step 6: Final answer
    x = 608,464.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.