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Finding the Third Proportional to 419 and 801

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Solution

The third proportional to 419 and 801 is: 1,531.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    419 : 801 = 801 : x
  2. Step 2: Convert to fraction form
    419/801 = 801/x
  3. Step 3: Cross multiply
    419x = 801 × 801
  4. Step 4: Simplify right side
    419x = 641,601
  5. Step 5: Solve for x
    x = 641,601/419
  6. Step 6: Final answer
    x = 1,531.27

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.