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Finding the Third Proportional to 467.75 and 727.25

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Solution

The third proportional to 467.75 and 727.25 is: 1,130.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.75 : 727.25 = 727.25 : x
  2. Step 2: Convert to fraction form
    467.75/727.25 = 727.25/x
  3. Step 3: Cross multiply
    467.75x = 727.25 × 727.25
  4. Step 4: Simplify right side
    467.75x = 528,892.56
  5. Step 5: Solve for x
    x = 528,892.56/467.75
  6. Step 6: Final answer
    x = 1,130.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.