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Finding the Third Proportional to 262,723.03 and 565,739.75

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Solution

The third proportional to 262,723.03 and 565,739.75 is: 1,218,246.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,723.03 : 565,739.75 = 565,739.75 : x
  2. Step 2: Convert to fraction form
    262,723.03/565,739.75 = 565,739.75/x
  3. Step 3: Cross multiply
    262,723.03x = 565,739.75 × 565,739.75
  4. Step 4: Simplify right side
    262,723.03x = 320,061,469,149.90
  5. Step 5: Solve for x
    x = 320,061,469,149.90/262,723.03
  6. Step 6: Final answer
    x = 1,218,246.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.