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Finding the Third Proportional to 204,600 and 437,622

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Solution

The third proportional to 204,600 and 437,622 is: 936,036.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,600 : 437,622 = 437,622 : x
  2. Step 2: Convert to fraction form
    204,600/437,622 = 437,622/x
  3. Step 3: Cross multiply
    204,600x = 437,622 × 437,622
  4. Step 4: Simplify right side
    204,600x = 191,513,014,884
  5. Step 5: Solve for x
    x = 191,513,014,884/204,600
  6. Step 6: Final answer
    x = 936,036.24

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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.