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Finding the Third Proportional to 596.11 and 894.16

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Solution

The third proportional to 596.11 and 894.16 is: 1,341.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.11 : 894.16 = 894.16 : x
  2. Step 2: Convert to fraction form
    596.11/894.16 = 894.16/x
  3. Step 3: Cross multiply
    596.11x = 894.16 × 894.16
  4. Step 4: Simplify right side
    596.11x = 799,529.37
  5. Step 5: Solve for x
    x = 799,529.37/596.11
  6. Step 6: Final answer
    x = 1,341.25

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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.