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Finding the Third Proportional to 307,811 and 462,608

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Solution

The third proportional to 307,811 and 462,608 is: 695,251.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,811 : 462,608 = 462,608 : x
  2. Step 2: Convert to fraction form
    307,811/462,608 = 462,608/x
  3. Step 3: Cross multiply
    307,811x = 462,608 × 462,608
  4. Step 4: Simplify right side
    307,811x = 214,006,161,664
  5. Step 5: Solve for x
    x = 214,006,161,664/307,811
  6. Step 6: Final answer
    x = 695,251.83

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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.