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Finding the Third Proportional to 339,148.27 and 706,203.56

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Solution

The third proportional to 339,148.27 and 706,203.56 is: 1,470,517.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,148.27 : 706,203.56 = 706,203.56 : x
  2. Step 2: Convert to fraction form
    339,148.27/706,203.56 = 706,203.56/x
  3. Step 3: Cross multiply
    339,148.27x = 706,203.56 × 706,203.56
  4. Step 4: Simplify right side
    339,148.27x = 498,723,471,687.69
  5. Step 5: Solve for x
    x = 498,723,471,687.69/339,148.27
  6. Step 6: Final answer
    x = 1,470,517.54

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.