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Finding the Third Proportional to 419.44 and 902.06

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Solution

The third proportional to 419.44 and 902.06 is: 1,940.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.44 : 902.06 = 902.06 : x
  2. Step 2: Convert to fraction form
    419.44/902.06 = 902.06/x
  3. Step 3: Cross multiply
    419.44x = 902.06 × 902.06
  4. Step 4: Simplify right side
    419.44x = 813,716.75
  5. Step 5: Solve for x
    x = 813,716.75/419.44
  6. Step 6: Final answer
    x = 1,940.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.