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Finding the Third Proportional to 327,734 and 448,527

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Solution

The third proportional to 327,734 and 448,527 is: 613,840.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,734 : 448,527 = 448,527 : x
  2. Step 2: Convert to fraction form
    327,734/448,527 = 448,527/x
  3. Step 3: Cross multiply
    327,734x = 448,527 × 448,527
  4. Step 4: Simplify right side
    327,734x = 201,176,469,729
  5. Step 5: Solve for x
    x = 201,176,469,729/327,734
  6. Step 6: Final answer
    x = 613,840.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.