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Finding the Third Proportional to 350,163 and 682,830

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Solution

The third proportional to 350,163 and 682,830 is: 1,331,542.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,163 : 682,830 = 682,830 : x
  2. Step 2: Convert to fraction form
    350,163/682,830 = 682,830/x
  3. Step 3: Cross multiply
    350,163x = 682,830 × 682,830
  4. Step 4: Simplify right side
    350,163x = 466,256,808,900
  5. Step 5: Solve for x
    x = 466,256,808,900/350,163
  6. Step 6: Final answer
    x = 1,331,542.19

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.