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Finding the Third Proportional to 419 and 969

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Solution

The third proportional to 419 and 969 is: 2,240.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    419 : 969 = 969 : x
  2. Step 2: Convert to fraction form
    419/969 = 969/x
  3. Step 3: Cross multiply
    419x = 969 × 969
  4. Step 4: Simplify right side
    419x = 938,961
  5. Step 5: Solve for x
    x = 938,961/419
  6. Step 6: Final answer
    x = 2,240.96

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.