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Finding the Third Proportional to 317,220 and 467,067

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Solution

The third proportional to 317,220 and 467,067 is: 687,698.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,220 : 467,067 = 467,067 : x
  2. Step 2: Convert to fraction form
    317,220/467,067 = 467,067/x
  3. Step 3: Cross multiply
    317,220x = 467,067 × 467,067
  4. Step 4: Simplify right side
    317,220x = 218,151,582,489
  5. Step 5: Solve for x
    x = 218,151,582,489/317,220
  6. Step 6: Final answer
    x = 687,698.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.