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Finding the Third Proportional to 206,432.44 and 431,591.06

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Solution

The third proportional to 206,432.44 and 431,591.06 is: 902,333.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,432.44 : 431,591.06 = 431,591.06 : x
  2. Step 2: Convert to fraction form
    206,432.44/431,591.06 = 431,591.06/x
  3. Step 3: Cross multiply
    206,432.44x = 431,591.06 × 431,591.06
  4. Step 4: Simplify right side
    206,432.44x = 186,270,845,229.88
  5. Step 5: Solve for x
    x = 186,270,845,229.88/206,432.44
  6. Step 6: Final answer
    x = 902,333.22

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.