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Finding the Third Proportional to 381.94 and 578.25

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Solution

The third proportional to 381.94 and 578.25 is: 875.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.94 : 578.25 = 578.25 : x
  2. Step 2: Convert to fraction form
    381.94/578.25 = 578.25/x
  3. Step 3: Cross multiply
    381.94x = 578.25 × 578.25
  4. Step 4: Simplify right side
    381.94x = 334,373.06
  5. Step 5: Solve for x
    x = 334,373.06/381.94
  6. Step 6: Final answer
    x = 875.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.