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Finding the Third Proportional to 381.56 and 572.34

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Solution

The third proportional to 381.56 and 572.34 is: 858.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.56 : 572.34 = 572.34 : x
  2. Step 2: Convert to fraction form
    381.56/572.34 = 572.34/x
  3. Step 3: Cross multiply
    381.56x = 572.34 × 572.34
  4. Step 4: Simplify right side
    381.56x = 327,577.37
  5. Step 5: Solve for x
    x = 327,577.37/381.56
  6. Step 6: Final answer
    x = 858.52

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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.