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Finding the Third Proportional to 207,831 and 447,450

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Solution

The third proportional to 207,831 and 447,450 is: 963,338.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,831 : 447,450 = 447,450 : x
  2. Step 2: Convert to fraction form
    207,831/447,450 = 447,450/x
  3. Step 3: Cross multiply
    207,831x = 447,450 × 447,450
  4. Step 4: Simplify right side
    207,831x = 200,211,502,500
  5. Step 5: Solve for x
    x = 200,211,502,500/207,831
  6. Step 6: Final answer
    x = 963,338.01

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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.