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Finding the Third Proportional to 207,819 and 323,892

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Solution

The third proportional to 207,819 and 323,892 is: 504,795.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,819 : 323,892 = 323,892 : x
  2. Step 2: Convert to fraction form
    207,819/323,892 = 323,892/x
  3. Step 3: Cross multiply
    207,819x = 323,892 × 323,892
  4. Step 4: Simplify right side
    207,819x = 104,906,027,664
  5. Step 5: Solve for x
    x = 104,906,027,664/207,819
  6. Step 6: Final answer
    x = 504,795.17

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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.