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Finding the Third Proportional to 310,802 and 467,067

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Solution

The third proportional to 310,802 and 467,067 is: 701,898.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,802 : 467,067 = 467,067 : x
  2. Step 2: Convert to fraction form
    310,802/467,067 = 467,067/x
  3. Step 3: Cross multiply
    310,802x = 467,067 × 467,067
  4. Step 4: Simplify right side
    310,802x = 218,151,582,489
  5. Step 5: Solve for x
    x = 218,151,582,489/310,802
  6. Step 6: Final answer
    x = 701,898.90

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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.