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Finding the Third Proportional to 335,183 and 505,906

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Solution

The third proportional to 335,183 and 505,906 is: 763,585.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,183 : 505,906 = 505,906 : x
  2. Step 2: Convert to fraction form
    335,183/505,906 = 505,906/x
  3. Step 3: Cross multiply
    335,183x = 505,906 × 505,906
  4. Step 4: Simplify right side
    335,183x = 255,940,880,836
  5. Step 5: Solve for x
    x = 255,940,880,836/335,183
  6. Step 6: Final answer
    x = 763,585.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.