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Finding the Third Proportional to 596.81 and 813.94

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Solution

The third proportional to 596.81 and 813.94 is: 1,110.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.81 : 813.94 = 813.94 : x
  2. Step 2: Convert to fraction form
    596.81/813.94 = 813.94/x
  3. Step 3: Cross multiply
    596.81x = 813.94 × 813.94
  4. Step 4: Simplify right side
    596.81x = 662,494.25
  5. Step 5: Solve for x
    x = 662,494.25/596.81
  6. Step 6: Final answer
    x = 1,110.05

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.