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Finding the Third Proportional to 208,105 and 447,792

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Solution

The third proportional to 208,105 and 447,792 is: 963,540.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,105 : 447,792 = 447,792 : x
  2. Step 2: Convert to fraction form
    208,105/447,792 = 447,792/x
  3. Step 3: Cross multiply
    208,105x = 447,792 × 447,792
  4. Step 4: Simplify right side
    208,105x = 200,517,675,264
  5. Step 5: Solve for x
    x = 200,517,675,264/208,105
  6. Step 6: Final answer
    x = 963,540.88

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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.