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Finding the Third Proportional to 481.50 and 722.81

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Solution

The third proportional to 481.50 and 722.81 is: 1,085.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.50 : 722.81 = 722.81 : x
  2. Step 2: Convert to fraction form
    481.50/722.81 = 722.81/x
  3. Step 3: Cross multiply
    481.50x = 722.81 × 722.81
  4. Step 4: Simplify right side
    481.50x = 522,457.91
  5. Step 5: Solve for x
    x = 522,457.91/481.50
  6. Step 6: Final answer
    x = 1,085.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.