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Finding the Third Proportional to 481.25 and 894.16

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Solution

The third proportional to 481.25 and 894.16 is: 1,661.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.25 : 894.16 = 894.16 : x
  2. Step 2: Convert to fraction form
    481.25/894.16 = 894.16/x
  3. Step 3: Cross multiply
    481.25x = 894.16 × 894.16
  4. Step 4: Simplify right side
    481.25x = 799,529.37
  5. Step 5: Solve for x
    x = 799,529.37/481.25
  6. Step 6: Final answer
    x = 1,661.35

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.