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Finding the Third Proportional to 467.75 and 723.88

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Solution

The third proportional to 467.75 and 723.88 is: 1,120.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.75 : 723.88 = 723.88 : x
  2. Step 2: Convert to fraction form
    467.75/723.88 = 723.88/x
  3. Step 3: Cross multiply
    467.75x = 723.88 × 723.88
  4. Step 4: Simplify right side
    467.75x = 523,995.02
  5. Step 5: Solve for x
    x = 523,995.02/467.75
  6. Step 6: Final answer
    x = 1,120.25

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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.