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Finding the Third Proportional to 324,941 and 505,131

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Solution

The third proportional to 324,941 and 505,131 is: 785,242.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,941 : 505,131 = 505,131 : x
  2. Step 2: Convert to fraction form
    324,941/505,131 = 505,131/x
  3. Step 3: Cross multiply
    324,941x = 505,131 × 505,131
  4. Step 4: Simplify right side
    324,941x = 255,157,327,161
  5. Step 5: Solve for x
    x = 255,157,327,161/324,941
  6. Step 6: Final answer
    x = 785,242.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.