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Finding the Third Proportional to 365.92 and 528.95

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Solution

The third proportional to 365.92 and 528.95 is: 764.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.92 : 528.95 = 528.95 : x
  2. Step 2: Convert to fraction form
    365.92/528.95 = 528.95/x
  3. Step 3: Cross multiply
    365.92x = 528.95 × 528.95
  4. Step 4: Simplify right side
    365.92x = 279,790.38
  5. Step 5: Solve for x
    x = 279,790.38/365.92
  6. Step 6: Final answer
    x = 764.61

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.