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Finding the Third Proportional to 204,615 and 437,654

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Solution

The third proportional to 204,615 and 437,654 is: 936,104.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,615 : 437,654 = 437,654 : x
  2. Step 2: Convert to fraction form
    204,615/437,654 = 437,654/x
  3. Step 3: Cross multiply
    204,615x = 437,654 × 437,654
  4. Step 4: Simplify right side
    204,615x = 191,541,023,716
  5. Step 5: Solve for x
    x = 191,541,023,716/204,615
  6. Step 6: Final answer
    x = 936,104.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.