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Finding the Third Proportional to 209,944 and 454,880

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Solution

The third proportional to 209,944 and 454,880 is: 985,576.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,944 : 454,880 = 454,880 : x
  2. Step 2: Convert to fraction form
    209,944/454,880 = 454,880/x
  3. Step 3: Cross multiply
    209,944x = 454,880 × 454,880
  4. Step 4: Simplify right side
    209,944x = 206,915,814,400
  5. Step 5: Solve for x
    x = 206,915,814,400/209,944
  6. Step 6: Final answer
    x = 985,576.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.