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Finding the Third Proportional to 275.82 and 600.30

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Solution

The third proportional to 275.82 and 600.30 is: 1,306.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.82 : 600.30 = 600.30 : x
  2. Step 2: Convert to fraction form
    275.82/600.30 = 600.30/x
  3. Step 3: Cross multiply
    275.82x = 600.30 × 600.30
  4. Step 4: Simplify right side
    275.82x = 360,362.57
  5. Step 5: Solve for x
    x = 360,362.57/275.82
  6. Step 6: Final answer
    x = 1,306.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.