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Finding the Third Proportional to 327,809 and 506,269

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Solution

The third proportional to 327,809 and 506,269 is: 781,883.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,809 : 506,269 = 506,269 : x
  2. Step 2: Convert to fraction form
    327,809/506,269 = 506,269/x
  3. Step 3: Cross multiply
    327,809x = 506,269 × 506,269
  4. Step 4: Simplify right side
    327,809x = 256,308,300,361
  5. Step 5: Solve for x
    x = 256,308,300,361/327,809
  6. Step 6: Final answer
    x = 781,883.05

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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.