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Finding the Third Proportional to 433.69 and 635.27

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Solution

The third proportional to 433.69 and 635.27 is: 930.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.69 : 635.27 = 635.27 : x
  2. Step 2: Convert to fraction form
    433.69/635.27 = 635.27/x
  3. Step 3: Cross multiply
    433.69x = 635.27 × 635.27
  4. Step 4: Simplify right side
    433.69x = 403,572.34
  5. Step 5: Solve for x
    x = 403,572.34/433.69
  6. Step 6: Final answer
    x = 930.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.