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Finding the Third Proportional to 327,159 and 683,964

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Solution

The third proportional to 327,159 and 683,964 is: 1,429,906.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,159 : 683,964 = 683,964 : x
  2. Step 2: Convert to fraction form
    327,159/683,964 = 683,964/x
  3. Step 3: Cross multiply
    327,159x = 683,964 × 683,964
  4. Step 4: Simplify right side
    327,159x = 467,806,753,296
  5. Step 5: Solve for x
    x = 467,806,753,296/327,159
  6. Step 6: Final answer
    x = 1,429,906.42

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.