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Finding the Third Proportional to 214,292 and 466,680

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Solution

The third proportional to 214,292 and 466,680 is: 1,016,324.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,292 : 466,680 = 466,680 : x
  2. Step 2: Convert to fraction form
    214,292/466,680 = 466,680/x
  3. Step 3: Cross multiply
    214,292x = 466,680 × 466,680
  4. Step 4: Simplify right side
    214,292x = 217,790,222,400
  5. Step 5: Solve for x
    x = 217,790,222,400/214,292
  6. Step 6: Final answer
    x = 1,016,324.56

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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.