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Finding the Third Proportional to 417 and 989.25

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Solution

The third proportional to 417 and 989.25 is: 2,346.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    417 : 989.25 = 989.25 : x
  2. Step 2: Convert to fraction form
    417/989.25 = 989.25/x
  3. Step 3: Cross multiply
    417x = 989.25 × 989.25
  4. Step 4: Simplify right side
    417x = 978,615.56
  5. Step 5: Solve for x
    x = 978,615.56/417
  6. Step 6: Final answer
    x = 2,346.80

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.