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Finding the Third Proportional to 692.25 and 1,006.13

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Solution

The third proportional to 692.25 and 1,006.13 is: 1,462.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.25 : 1,006.13 = 1,006.13 : x
  2. Step 2: Convert to fraction form
    692.25/1,006.13 = 1,006.13/x
  3. Step 3: Cross multiply
    692.25x = 1,006.13 × 1,006.13
  4. Step 4: Simplify right side
    692.25x = 1,012,287.52
  5. Step 5: Solve for x
    x = 1,012,287.52/692.25
  6. Step 6: Final answer
    x = 1,462.31

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.