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Finding the Third Proportional to 468.25 and 650.88

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Solution

The third proportional to 468.25 and 650.88 is: 904.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.25 : 650.88 = 650.88 : x
  2. Step 2: Convert to fraction form
    468.25/650.88 = 650.88/x
  3. Step 3: Cross multiply
    468.25x = 650.88 × 650.88
  4. Step 4: Simplify right side
    468.25x = 423,638.27
  5. Step 5: Solve for x
    x = 423,638.27/468.25
  6. Step 6: Final answer
    x = 904.73

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.