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Finding the Third Proportional to 327,853 and 505,796

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Solution

The third proportional to 327,853 and 505,796 is: 780,317.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,853 : 505,796 = 505,796 : x
  2. Step 2: Convert to fraction form
    327,853/505,796 = 505,796/x
  3. Step 3: Cross multiply
    327,853x = 505,796 × 505,796
  4. Step 4: Simplify right side
    327,853x = 255,829,593,616
  5. Step 5: Solve for x
    x = 255,829,593,616/327,853
  6. Step 6: Final answer
    x = 780,317.99

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.