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Finding the Third Proportional to 272.39 and 595.41

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Solution

The third proportional to 272.39 and 595.41 is: 1,301.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.39 : 595.41 = 595.41 : x
  2. Step 2: Convert to fraction form
    272.39/595.41 = 595.41/x
  3. Step 3: Cross multiply
    272.39x = 595.41 × 595.41
  4. Step 4: Simplify right side
    272.39x = 354,508.60
  5. Step 5: Solve for x
    x = 354,508.60/272.39
  6. Step 6: Final answer
    x = 1,301.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.