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Finding the Third Proportional to 324,162 and 475,733.25

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Solution

The third proportional to 324,162 and 475,733.25 is: 698,175.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,162 : 475,733.25 = 475,733.25 : x
  2. Step 2: Convert to fraction form
    324,162/475,733.25 = 475,733.25/x
  3. Step 3: Cross multiply
    324,162x = 475,733.25 × 475,733.25
  4. Step 4: Simplify right side
    324,162x = 226,322,125,155.56
  5. Step 5: Solve for x
    x = 226,322,125,155.56/324,162
  6. Step 6: Final answer
    x = 698,175.99

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.