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Finding the Third Proportional to 481.69 and 728.06

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Solution

The third proportional to 481.69 and 728.06 is: 1,100.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.69 : 728.06 = 728.06 : x
  2. Step 2: Convert to fraction form
    481.69/728.06 = 728.06/x
  3. Step 3: Cross multiply
    481.69x = 728.06 × 728.06
  4. Step 4: Simplify right side
    481.69x = 530,075.00
  5. Step 5: Solve for x
    x = 530,075.00/481.69
  6. Step 6: Final answer
    x = 1,100.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.