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Finding the Third Proportional to 692.44 and 1,505.81

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Solution

The third proportional to 692.44 and 1,505.81 is: 3,274.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.44 : 1,505.81 = 1,505.81 : x
  2. Step 2: Convert to fraction form
    692.44/1,505.81 = 1,505.81/x
  3. Step 3: Cross multiply
    692.44x = 1,505.81 × 1,505.81
  4. Step 4: Simplify right side
    692.44x = 2,267,471.29
  5. Step 5: Solve for x
    x = 2,267,471.29/692.44
  6. Step 6: Final answer
    x = 3,274.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.