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Finding the Third Proportional to 429.44 and 636.56

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Solution

The third proportional to 429.44 and 636.56 is: 943.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.44 : 636.56 = 636.56 : x
  2. Step 2: Convert to fraction form
    429.44/636.56 = 636.56/x
  3. Step 3: Cross multiply
    429.44x = 636.56 × 636.56
  4. Step 4: Simplify right side
    429.44x = 405,211.82
  5. Step 5: Solve for x
    x = 405,211.82/429.44
  6. Step 6: Final answer
    x = 943.59

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.