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Finding the Third Proportional to 327,549 and 694,470

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Solution

The third proportional to 327,549 and 694,470 is: 1,472,416.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,549 : 694,470 = 694,470 : x
  2. Step 2: Convert to fraction form
    327,549/694,470 = 694,470/x
  3. Step 3: Cross multiply
    327,549x = 694,470 × 694,470
  4. Step 4: Simplify right side
    327,549x = 482,288,580,900
  5. Step 5: Solve for x
    x = 482,288,580,900/327,549
  6. Step 6: Final answer
    x = 1,472,416.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.