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Finding the Third Proportional to 328,743.56 and 491,786.44

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Solution

The third proportional to 328,743.56 and 491,786.44 is: 735,691.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,743.56 : 491,786.44 = 491,786.44 : x
  2. Step 2: Convert to fraction form
    328,743.56/491,786.44 = 491,786.44/x
  3. Step 3: Cross multiply
    328,743.56x = 491,786.44 × 491,786.44
  4. Step 4: Simplify right side
    328,743.56x = 241,853,900,108.94
  5. Step 5: Solve for x
    x = 241,853,900,108.94/328,743.56
  6. Step 6: Final answer
    x = 735,691.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.