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Finding the Third Proportional to 465.19 and 989.44

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Solution

The third proportional to 465.19 and 989.44 is: 2,104.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.19 : 989.44 = 989.44 : x
  2. Step 2: Convert to fraction form
    465.19/989.44 = 989.44/x
  3. Step 3: Cross multiply
    465.19x = 989.44 × 989.44
  4. Step 4: Simplify right side
    465.19x = 978,986.57
  5. Step 5: Solve for x
    x = 978,986.57/465.19
  6. Step 6: Final answer
    x = 2,104.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.