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Finding the Third Proportional to 270.34 and 584.11

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Solution

The third proportional to 270.34 and 584.11 is: 1,262.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.34 : 584.11 = 584.11 : x
  2. Step 2: Convert to fraction form
    270.34/584.11 = 584.11/x
  3. Step 3: Cross multiply
    270.34x = 584.11 × 584.11
  4. Step 4: Simplify right side
    270.34x = 341,187.18
  5. Step 5: Solve for x
    x = 341,187.18/270.34
  6. Step 6: Final answer
    x = 1,262.05

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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.