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Finding the Third Proportional to 272,380.50 and 422,736.75

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Solution

The third proportional to 272,380.50 and 422,736.75 is: 656,090.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,380.50 : 422,736.75 = 422,736.75 : x
  2. Step 2: Convert to fraction form
    272,380.50/422,736.75 = 422,736.75/x
  3. Step 3: Cross multiply
    272,380.50x = 422,736.75 × 422,736.75
  4. Step 4: Simplify right side
    272,380.50x = 178,706,359,800.56
  5. Step 5: Solve for x
    x = 178,706,359,800.56/272,380.50
  6. Step 6: Final answer
    x = 656,090.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.