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Finding the Third Proportional to 327,548 and 694,464

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Solution

The third proportional to 327,548 and 694,464 is: 1,472,395.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,548 : 694,464 = 694,464 : x
  2. Step 2: Convert to fraction form
    327,548/694,464 = 694,464/x
  3. Step 3: Cross multiply
    327,548x = 694,464 × 694,464
  4. Step 4: Simplify right side
    327,548x = 482,280,247,296
  5. Step 5: Solve for x
    x = 482,280,247,296/327,548
  6. Step 6: Final answer
    x = 1,472,395.64

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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.