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Finding the Third Proportional to 908.63 and 1,359.38

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Solution

The third proportional to 908.63 and 1,359.38 is: 2,033.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.63 : 1,359.38 = 1,359.38 : x
  2. Step 2: Convert to fraction form
    908.63/1,359.38 = 1,359.38/x
  3. Step 3: Cross multiply
    908.63x = 1,359.38 × 1,359.38
  4. Step 4: Simplify right side
    908.63x = 1,847,900.39
  5. Step 5: Solve for x
    x = 1,847,900.39/908.63
  6. Step 6: Final answer
    x = 2,033.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.