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Finding the Third Proportional to 349.73 and 533.04

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Solution

The third proportional to 349.73 and 533.04 is: 812.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.73 : 533.04 = 533.04 : x
  2. Step 2: Convert to fraction form
    349.73/533.04 = 533.04/x
  3. Step 3: Cross multiply
    349.73x = 533.04 × 533.04
  4. Step 4: Simplify right side
    349.73x = 284,130.64
  5. Step 5: Solve for x
    x = 284,130.64/349.73
  6. Step 6: Final answer
    x = 812.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.