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Finding the Third Proportional to 481.75 and 695.88

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Solution

The third proportional to 481.75 and 695.88 is: 1,005.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.75 : 695.88 = 695.88 : x
  2. Step 2: Convert to fraction form
    481.75/695.88 = 695.88/x
  3. Step 3: Cross multiply
    481.75x = 695.88 × 695.88
  4. Step 4: Simplify right side
    481.75x = 484,242.02
  5. Step 5: Solve for x
    x = 484,242.02/481.75
  6. Step 6: Final answer
    x = 1,005.17

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.