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Finding the Third Proportional to 491.25 and 667.88

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Solution

The third proportional to 491.25 and 667.88 is: 908.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.25 : 667.88 = 667.88 : x
  2. Step 2: Convert to fraction form
    491.25/667.88 = 667.88/x
  3. Step 3: Cross multiply
    491.25x = 667.88 × 667.88
  4. Step 4: Simplify right side
    491.25x = 446,057.02
  5. Step 5: Solve for x
    x = 446,057.02/491.25
  6. Step 6: Final answer
    x = 908.00

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.