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Finding the Third Proportional to 467.75 and 623.88

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Solution

The third proportional to 467.75 and 623.88 is: 832.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.75 : 623.88 = 623.88 : x
  2. Step 2: Convert to fraction form
    467.75/623.88 = 623.88/x
  3. Step 3: Cross multiply
    467.75x = 623.88 × 623.88
  4. Step 4: Simplify right side
    467.75x = 389,220.02
  5. Step 5: Solve for x
    x = 389,220.02/467.75
  6. Step 6: Final answer
    x = 832.11

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.