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Finding the Third Proportional to 350,096 and 543,147

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Solution

The third proportional to 350,096 and 543,147 is: 842,650.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,096 : 543,147 = 543,147 : x
  2. Step 2: Convert to fraction form
    350,096/543,147 = 543,147/x
  3. Step 3: Cross multiply
    350,096x = 543,147 × 543,147
  4. Step 4: Simplify right side
    350,096x = 295,008,663,609
  5. Step 5: Solve for x
    x = 295,008,663,609/350,096
  6. Step 6: Final answer
    x = 842,650.77

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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.