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Finding the Third Proportional to 484.50 and 728.81

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Solution

The third proportional to 484.50 and 728.81 is: 1,096.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.50 : 728.81 = 728.81 : x
  2. Step 2: Convert to fraction form
    484.50/728.81 = 728.81/x
  3. Step 3: Cross multiply
    484.50x = 728.81 × 728.81
  4. Step 4: Simplify right side
    484.50x = 531,167.66
  5. Step 5: Solve for x
    x = 531,167.66/484.50
  6. Step 6: Final answer
    x = 1,096.32

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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.