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Finding the Third Proportional to 204,880 and 447,120

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Solution

The third proportional to 204,880 and 447,120 is: 975,772.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,880 : 447,120 = 447,120 : x
  2. Step 2: Convert to fraction form
    204,880/447,120 = 447,120/x
  3. Step 3: Cross multiply
    204,880x = 447,120 × 447,120
  4. Step 4: Simplify right side
    204,880x = 199,916,294,400
  5. Step 5: Solve for x
    x = 199,916,294,400/204,880
  6. Step 6: Final answer
    x = 975,772.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.