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Finding the Third Proportional to 207,863.24 and 447,749.81

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Solution

The third proportional to 207,863.24 and 447,749.81 is: 964,479.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,863.24 : 447,749.81 = 447,749.81 : x
  2. Step 2: Convert to fraction form
    207,863.24/447,749.81 = 447,749.81/x
  3. Step 3: Cross multiply
    207,863.24x = 447,749.81 × 447,749.81
  4. Step 4: Simplify right side
    207,863.24x = 200,479,889,346.71
  5. Step 5: Solve for x
    x = 200,479,889,346.71/207,863.24
  6. Step 6: Final answer
    x = 964,479.75

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