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Finding the Third Proportional to 635,812.31 and 960,198.75

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Solution

The third proportional to 635,812.31 and 960,198.75 is: 1,450,084.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,812.31 : 960,198.75 = 960,198.75 : x
  2. Step 2: Convert to fraction form
    635,812.31/960,198.75 = 960,198.75/x
  3. Step 3: Cross multiply
    635,812.31x = 960,198.75 × 960,198.75
  4. Step 4: Simplify right side
    635,812.31x = 921,981,639,501.56
  5. Step 5: Solve for x
    x = 921,981,639,501.56/635,812.31
  6. Step 6: Final answer
    x = 1,450,084.59

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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.