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Finding the Third Proportional to 327,728 and 448,514

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Solution

The third proportional to 327,728 and 448,514 is: 613,816.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,728 : 448,514 = 448,514 : x
  2. Step 2: Convert to fraction form
    327,728/448,514 = 448,514/x
  3. Step 3: Cross multiply
    327,728x = 448,514 × 448,514
  4. Step 4: Simplify right side
    327,728x = 201,164,808,196
  5. Step 5: Solve for x
    x = 201,164,808,196/327,728
  6. Step 6: Final answer
    x = 613,816.36

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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.