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Finding the Third Proportional to 207,800 and 447,378

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Solution

The third proportional to 207,800 and 447,378 is: 963,171.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,800 : 447,378 = 447,378 : x
  2. Step 2: Convert to fraction form
    207,800/447,378 = 447,378/x
  3. Step 3: Cross multiply
    207,800x = 447,378 × 447,378
  4. Step 4: Simplify right side
    207,800x = 200,147,074,884
  5. Step 5: Solve for x
    x = 200,147,074,884/207,800
  6. Step 6: Final answer
    x = 963,171.68

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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.