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Finding the Third Proportional to 381,608.44 and 560,748.38

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Solution

The third proportional to 381,608.44 and 560,748.38 is: 823,982.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,608.44 : 560,748.38 = 560,748.38 : x
  2. Step 2: Convert to fraction form
    381,608.44/560,748.38 = 560,748.38/x
  3. Step 3: Cross multiply
    381,608.44x = 560,748.38 × 560,748.38
  4. Step 4: Simplify right side
    381,608.44x = 314,438,740,065.14
  5. Step 5: Solve for x
    x = 314,438,740,065.14/381,608.44
  6. Step 6: Final answer
    x = 823,982.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.