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Finding the Third Proportional to 553 and 825

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Solution

The third proportional to 553 and 825 is: 1,230.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    553 : 825 = 825 : x
  2. Step 2: Convert to fraction form
    553/825 = 825/x
  3. Step 3: Cross multiply
    553x = 825 × 825
  4. Step 4: Simplify right side
    553x = 680,625
  5. Step 5: Solve for x
    x = 680,625/553
  6. Step 6: Final answer
    x = 1,230.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.