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Finding the Third Proportional to 215,204 and 466,696

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Solution

The third proportional to 215,204 and 466,696 is: 1,012,086.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,204 : 466,696 = 466,696 : x
  2. Step 2: Convert to fraction form
    215,204/466,696 = 466,696/x
  3. Step 3: Cross multiply
    215,204x = 466,696 × 466,696
  4. Step 4: Simplify right side
    215,204x = 217,805,156,416
  5. Step 5: Solve for x
    x = 217,805,156,416/215,204
  6. Step 6: Final answer
    x = 1,012,086.93

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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.