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Finding the Third Proportional to 327,723 and 448,509

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Solution

The third proportional to 327,723 and 448,509 is: 613,812.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,723 : 448,509 = 448,509 : x
  2. Step 2: Convert to fraction form
    327,723/448,509 = 448,509/x
  3. Step 3: Cross multiply
    327,723x = 448,509 × 448,509
  4. Step 4: Simplify right side
    327,723x = 201,160,323,081
  5. Step 5: Solve for x
    x = 201,160,323,081/327,723
  6. Step 6: Final answer
    x = 613,812.04

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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.