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Finding the Third Proportional to 325,832 and 455,195

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Solution

The third proportional to 325,832 and 455,195 is: 635,918.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,832 : 455,195 = 455,195 : x
  2. Step 2: Convert to fraction form
    325,832/455,195 = 455,195/x
  3. Step 3: Cross multiply
    325,832x = 455,195 × 455,195
  4. Step 4: Simplify right side
    325,832x = 207,202,488,025
  5. Step 5: Solve for x
    x = 207,202,488,025/325,832
  6. Step 6: Final answer
    x = 635,918.17

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.