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Finding the Third Proportional to 419 and 880

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Solution

The third proportional to 419 and 880 is: 1,848.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    419 : 880 = 880 : x
  2. Step 2: Convert to fraction form
    419/880 = 880/x
  3. Step 3: Cross multiply
    419x = 880 × 880
  4. Step 4: Simplify right side
    419x = 774,400
  5. Step 5: Solve for x
    x = 774,400/419
  6. Step 6: Final answer
    x = 1,848.21

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.