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Finding the Third Proportional to 483.56 and 727.41

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Solution

The third proportional to 483.56 and 727.41 is: 1,094.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.56 : 727.41 = 727.41 : x
  2. Step 2: Convert to fraction form
    483.56/727.41 = 727.41/x
  3. Step 3: Cross multiply
    483.56x = 727.41 × 727.41
  4. Step 4: Simplify right side
    483.56x = 529,119.85
  5. Step 5: Solve for x
    x = 529,119.85/483.56
  6. Step 6: Final answer
    x = 1,094.21

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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.