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Finding the Third Proportional to 207,825.75 and 446,732.25

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Solution

The third proportional to 207,825.75 and 446,732.25 is: 960,274.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,825.75 : 446,732.25 = 446,732.25 : x
  2. Step 2: Convert to fraction form
    207,825.75/446,732.25 = 446,732.25/x
  3. Step 3: Cross multiply
    207,825.75x = 446,732.25 × 446,732.25
  4. Step 4: Simplify right side
    207,825.75x = 199,569,703,190.06
  5. Step 5: Solve for x
    x = 199,569,703,190.06/207,825.75
  6. Step 6: Final answer
    x = 960,274.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.