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Finding the Third Proportional to 207,975 and 447,474

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Solution

The third proportional to 207,975 and 447,474 is: 962,774.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,975 : 447,474 = 447,474 : x
  2. Step 2: Convert to fraction form
    207,975/447,474 = 447,474/x
  3. Step 3: Cross multiply
    207,975x = 447,474 × 447,474
  4. Step 4: Simplify right side
    207,975x = 200,232,980,676
  5. Step 5: Solve for x
    x = 200,232,980,676/207,975
  6. Step 6: Final answer
    x = 962,774.28

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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.