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Finding the Third Proportional to 335.44 and 524.44

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Solution

The third proportional to 335.44 and 524.44 is: 819.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.44 : 524.44 = 524.44 : x
  2. Step 2: Convert to fraction form
    335.44/524.44 = 524.44/x
  3. Step 3: Cross multiply
    335.44x = 524.44 × 524.44
  4. Step 4: Simplify right side
    335.44x = 275,034.69
  5. Step 5: Solve for x
    x = 275,034.69/335.44
  6. Step 6: Final answer
    x = 819.93

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.