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Finding the Third Proportional to 207,444.38 and 422,502.75

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Solution

The third proportional to 207,444.38 and 422,502.75 is: 860,512.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,444.38 : 422,502.75 = 422,502.75 : x
  2. Step 2: Convert to fraction form
    207,444.38/422,502.75 = 422,502.75/x
  3. Step 3: Cross multiply
    207,444.38x = 422,502.75 × 422,502.75
  4. Step 4: Simplify right side
    207,444.38x = 178,508,573,757.56
  5. Step 5: Solve for x
    x = 178,508,573,757.56/207,444.38
  6. Step 6: Final answer
    x = 860,512.96

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.