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Finding the Third Proportional to 270 and 585.56

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Solution

The third proportional to 270 and 585.56 is: 1,269.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    270 : 585.56 = 585.56 : x
  2. Step 2: Convert to fraction form
    270/585.56 = 585.56/x
  3. Step 3: Cross multiply
    270x = 585.56 × 585.56
  4. Step 4: Simplify right side
    270x = 342,883.44
  5. Step 5: Solve for x
    x = 342,883.44/270
  6. Step 6: Final answer
    x = 1,269.94

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.