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Finding the Third Proportional to 270.59 and 584.41

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Solution

The third proportional to 270.59 and 584.41 is: 1,262.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.59 : 584.41 = 584.41 : x
  2. Step 2: Convert to fraction form
    270.59/584.41 = 584.41/x
  3. Step 3: Cross multiply
    270.59x = 584.41 × 584.41
  4. Step 4: Simplify right side
    270.59x = 341,539.80
  5. Step 5: Solve for x
    x = 341,539.80/270.59
  6. Step 6: Final answer
    x = 1,262.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.