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Finding the Third Proportional to 352.75 and 560.38

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Solution

The third proportional to 352.75 and 560.38 is: 890.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.75 : 560.38 = 560.38 : x
  2. Step 2: Convert to fraction form
    352.75/560.38 = 560.38/x
  3. Step 3: Cross multiply
    352.75x = 560.38 × 560.38
  4. Step 4: Simplify right side
    352.75x = 314,020.14
  5. Step 5: Solve for x
    x = 314,020.14/352.75
  6. Step 6: Final answer
    x = 890.21

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.