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Finding the Third Proportional to 692.30 and 1,517.48

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Solution

The third proportional to 692.30 and 1,517.48 is: 3,326.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.30 : 1,517.48 = 1,517.48 : x
  2. Step 2: Convert to fraction form
    692.30/1,517.48 = 1,517.48/x
  3. Step 3: Cross multiply
    692.30x = 1,517.48 × 1,517.48
  4. Step 4: Simplify right side
    692.30x = 2,302,758.83
  5. Step 5: Solve for x
    x = 2,302,758.83/692.30
  6. Step 6: Final answer
    x = 3,326.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.