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Finding the Third Proportional to 217,230 and 460,680

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Solution

The third proportional to 217,230 and 460,680 is: 976,964.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,230 : 460,680 = 460,680 : x
  2. Step 2: Convert to fraction form
    217,230/460,680 = 460,680/x
  3. Step 3: Cross multiply
    217,230x = 460,680 × 460,680
  4. Step 4: Simplify right side
    217,230x = 212,226,062,400
  5. Step 5: Solve for x
    x = 212,226,062,400/217,230
  6. Step 6: Final answer
    x = 976,964.79

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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.