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Finding the Third Proportional to 424.30 and 636.69

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Solution

The third proportional to 424.30 and 636.69 is: 955.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.30 : 636.69 = 636.69 : x
  2. Step 2: Convert to fraction form
    424.30/636.69 = 636.69/x
  3. Step 3: Cross multiply
    424.30x = 636.69 × 636.69
  4. Step 4: Simplify right side
    424.30x = 405,372.22
  5. Step 5: Solve for x
    x = 405,372.22/424.30
  6. Step 6: Final answer
    x = 955.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.