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Finding the Third Proportional to 381.09 and 598.92

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Solution

The third proportional to 381.09 and 598.92 is: 941.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.09 : 598.92 = 598.92 : x
  2. Step 2: Convert to fraction form
    381.09/598.92 = 598.92/x
  3. Step 3: Cross multiply
    381.09x = 598.92 × 598.92
  4. Step 4: Simplify right side
    381.09x = 358,707.41
  5. Step 5: Solve for x
    x = 358,707.41/381.09
  6. Step 6: Final answer
    x = 941.26

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.