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Finding the Third Proportional to 327,399 and 504,612

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Solution

The third proportional to 327,399 and 504,612 is: 777,746.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,399 : 504,612 = 504,612 : x
  2. Step 2: Convert to fraction form
    327,399/504,612 = 504,612/x
  3. Step 3: Cross multiply
    327,399x = 504,612 × 504,612
  4. Step 4: Simplify right side
    327,399x = 254,633,270,544
  5. Step 5: Solve for x
    x = 254,633,270,544/327,399
  6. Step 6: Final answer
    x = 777,746.02

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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.