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Finding the Third Proportional to 207,866 and 323,967

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Solution

The third proportional to 207,866 and 323,967 is: 504,914.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,866 : 323,967 = 323,967 : x
  2. Step 2: Convert to fraction form
    207,866/323,967 = 323,967/x
  3. Step 3: Cross multiply
    207,866x = 323,967 × 323,967
  4. Step 4: Simplify right side
    207,866x = 104,954,617,089
  5. Step 5: Solve for x
    x = 104,954,617,089/207,866
  6. Step 6: Final answer
    x = 504,914.79

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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.