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Finding the Third Proportional to 360.44 and 475.06

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Solution

The third proportional to 360.44 and 475.06 is: 626.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.44 : 475.06 = 475.06 : x
  2. Step 2: Convert to fraction form
    360.44/475.06 = 475.06/x
  3. Step 3: Cross multiply
    360.44x = 475.06 × 475.06
  4. Step 4: Simplify right side
    360.44x = 225,684.38
  5. Step 5: Solve for x
    x = 225,684.38/360.44
  6. Step 6: Final answer
    x = 626.14

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.