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Finding the Third Proportional to 335.56 and 533.84

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Solution

The third proportional to 335.56 and 533.84 is: 849.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.56 : 533.84 = 533.84 : x
  2. Step 2: Convert to fraction form
    335.56/533.84 = 533.84/x
  3. Step 3: Cross multiply
    335.56x = 533.84 × 533.84
  4. Step 4: Simplify right side
    335.56x = 284,989.15
  5. Step 5: Solve for x
    x = 284,989.15/335.56
  6. Step 6: Final answer
    x = 849.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.