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Finding the Third Proportional to 259,183 and 405,704

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Solution

The third proportional to 259,183 and 405,704 is: 635,056.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,183 : 405,704 = 405,704 : x
  2. Step 2: Convert to fraction form
    259,183/405,704 = 405,704/x
  3. Step 3: Cross multiply
    259,183x = 405,704 × 405,704
  4. Step 4: Simplify right side
    259,183x = 164,595,735,616
  5. Step 5: Solve for x
    x = 164,595,735,616/259,183
  6. Step 6: Final answer
    x = 635,056.06

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.