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Finding the Third Proportional to 227,516.34 and 494,398.69

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Solution

The third proportional to 227,516.34 and 494,398.69 is: 1,074,340.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,516.34 : 494,398.69 = 494,398.69 : x
  2. Step 2: Convert to fraction form
    227,516.34/494,398.69 = 494,398.69/x
  3. Step 3: Cross multiply
    227,516.34x = 494,398.69 × 494,398.69
  4. Step 4: Simplify right side
    227,516.34x = 244,430,062,201.72
  5. Step 5: Solve for x
    x = 244,430,062,201.72/227,516.34
  6. Step 6: Final answer
    x = 1,074,340.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.