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Finding the Third Proportional to 817.31 and 901.69

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Solution

The third proportional to 817.31 and 901.69 is: 994.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.31 : 901.69 = 901.69 : x
  2. Step 2: Convert to fraction form
    817.31/901.69 = 901.69/x
  3. Step 3: Cross multiply
    817.31x = 901.69 × 901.69
  4. Step 4: Simplify right side
    817.31x = 813,040.35
  5. Step 5: Solve for x
    x = 813,040.35/817.31
  6. Step 6: Final answer
    x = 994.77

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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.