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Finding the Third Proportional to 274.89 and 595.66

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Solution

The third proportional to 274.89 and 595.66 is: 1,290.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.89 : 595.66 = 595.66 : x
  2. Step 2: Convert to fraction form
    274.89/595.66 = 595.66/x
  3. Step 3: Cross multiply
    274.89x = 595.66 × 595.66
  4. Step 4: Simplify right side
    274.89x = 354,806.37
  5. Step 5: Solve for x
    x = 354,806.37/274.89
  6. Step 6: Final answer
    x = 1,290.72

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Why These Related Problems?

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