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Finding the Third Proportional to 200,096 and 422,704

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Solution

The third proportional to 200,096 and 422,704 is: 892,964.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,096 : 422,704 = 422,704 : x
  2. Step 2: Convert to fraction form
    200,096/422,704 = 422,704/x
  3. Step 3: Cross multiply
    200,096x = 422,704 × 422,704
  4. Step 4: Simplify right side
    200,096x = 178,678,671,616
  5. Step 5: Solve for x
    x = 178,678,671,616/200,096
  6. Step 6: Final answer
    x = 892,964.74

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.