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Finding the Third Proportional to 580.92 and 814.43

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Solution

The third proportional to 580.92 and 814.43 is: 1,141.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.92 : 814.43 = 814.43 : x
  2. Step 2: Convert to fraction form
    580.92/814.43 = 814.43/x
  3. Step 3: Cross multiply
    580.92x = 814.43 × 814.43
  4. Step 4: Simplify right side
    580.92x = 663,295.72
  5. Step 5: Solve for x
    x = 663,295.72/580.92
  6. Step 6: Final answer
    x = 1,141.80

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.