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Finding the Third Proportional to 381.75 and 572.88

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Solution

The third proportional to 381.75 and 572.88 is: 859.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.75 : 572.88 = 572.88 : x
  2. Step 2: Convert to fraction form
    381.75/572.88 = 572.88/x
  3. Step 3: Cross multiply
    381.75x = 572.88 × 572.88
  4. Step 4: Simplify right side
    381.75x = 328,185.77
  5. Step 5: Solve for x
    x = 328,185.77/381.75
  6. Step 6: Final answer
    x = 859.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.