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Finding the Third Proportional to 217,224 and 460,668

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Solution

The third proportional to 217,224 and 460,668 is: 976,940.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,224 : 460,668 = 460,668 : x
  2. Step 2: Convert to fraction form
    217,224/460,668 = 460,668/x
  3. Step 3: Cross multiply
    217,224x = 460,668 × 460,668
  4. Step 4: Simplify right side
    217,224x = 212,215,006,224
  5. Step 5: Solve for x
    x = 212,215,006,224/217,224
  6. Step 6: Final answer
    x = 976,940.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.