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Finding the Third Proportional to 814.88 and 900.38

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Solution

The third proportional to 814.88 and 900.38 is: 994.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.88 : 900.38 = 900.38 : x
  2. Step 2: Convert to fraction form
    814.88/900.38 = 900.38/x
  3. Step 3: Cross multiply
    814.88x = 900.38 × 900.38
  4. Step 4: Simplify right side
    814.88x = 810,675.14
  5. Step 5: Solve for x
    x = 810,675.14/814.88
  6. Step 6: Final answer
    x = 994.85

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.