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Finding the Third Proportional to 207,864 and 323,964

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Solution

The third proportional to 207,864 and 323,964 is: 504,910.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,864 : 323,964 = 323,964 : x
  2. Step 2: Convert to fraction form
    207,864/323,964 = 323,964/x
  3. Step 3: Cross multiply
    207,864x = 323,964 × 323,964
  4. Step 4: Simplify right side
    207,864x = 104,952,673,296
  5. Step 5: Solve for x
    x = 104,952,673,296/207,864
  6. Step 6: Final answer
    x = 504,910.29

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