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Finding the Third Proportional to 217,512 and 481,680

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Solution

The third proportional to 217,512 and 481,680 is: 1,066,679.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,512 : 481,680 = 481,680 : x
  2. Step 2: Convert to fraction form
    217,512/481,680 = 481,680/x
  3. Step 3: Cross multiply
    217,512x = 481,680 × 481,680
  4. Step 4: Simplify right side
    217,512x = 232,015,622,400
  5. Step 5: Solve for x
    x = 232,015,622,400/217,512
  6. Step 6: Final answer
    x = 1,066,679.64

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.