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Finding the Third Proportional to 204,606 and 437,634

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Solution

The third proportional to 204,606 and 437,634 is: 936,060.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,606 : 437,634 = 437,634 : x
  2. Step 2: Convert to fraction form
    204,606/437,634 = 437,634/x
  3. Step 3: Cross multiply
    204,606x = 437,634 × 437,634
  4. Step 4: Simplify right side
    204,606x = 191,523,517,956
  5. Step 5: Solve for x
    x = 191,523,517,956/204,606
  6. Step 6: Final answer
    x = 936,060.13

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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.