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Finding the Third Proportional to 207,904 and 324,025

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Solution

The third proportional to 207,904 and 324,025 is: 505,003.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,904 : 324,025 = 324,025 : x
  2. Step 2: Convert to fraction form
    207,904/324,025 = 324,025/x
  3. Step 3: Cross multiply
    207,904x = 324,025 × 324,025
  4. Step 4: Simplify right side
    207,904x = 104,992,200,625
  5. Step 5: Solve for x
    x = 104,992,200,625/207,904
  6. Step 6: Final answer
    x = 505,003.27

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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.