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Finding the Third Proportional to 528.19 and 790.38

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Solution

The third proportional to 528.19 and 790.38 is: 1,182.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.19 : 790.38 = 790.38 : x
  2. Step 2: Convert to fraction form
    528.19/790.38 = 790.38/x
  3. Step 3: Cross multiply
    528.19x = 790.38 × 790.38
  4. Step 4: Simplify right side
    528.19x = 624,704.99
  5. Step 5: Solve for x
    x = 624,704.99/528.19
  6. Step 6: Final answer
    x = 1,182.73

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