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Finding the Third Proportional to 484.25 and 727.63

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Solution

The third proportional to 484.25 and 727.63 is: 1,093.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.25 : 727.63 = 727.63 : x
  2. Step 2: Convert to fraction form
    484.25/727.63 = 727.63/x
  3. Step 3: Cross multiply
    484.25x = 727.63 × 727.63
  4. Step 4: Simplify right side
    484.25x = 529,438.14
  5. Step 5: Solve for x
    x = 529,438.14/484.25
  6. Step 6: Final answer
    x = 1,093.32

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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.