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Finding the Third Proportional to 473.63 and 692.44

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Solution

The third proportional to 473.63 and 692.44 is: 1,012.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.63 : 692.44 = 692.44 : x
  2. Step 2: Convert to fraction form
    473.63/692.44 = 692.44/x
  3. Step 3: Cross multiply
    473.63x = 692.44 × 692.44
  4. Step 4: Simplify right side
    473.63x = 479,469.69
  5. Step 5: Solve for x
    x = 479,469.69/473.63
  6. Step 6: Final answer
    x = 1,012.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.