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Finding the Third Proportional to 275.20 and 579.23

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Solution

The third proportional to 275.20 and 579.23 is: 1,219.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.20 : 579.23 = 579.23 : x
  2. Step 2: Convert to fraction form
    275.20/579.23 = 579.23/x
  3. Step 3: Cross multiply
    275.20x = 579.23 × 579.23
  4. Step 4: Simplify right side
    275.20x = 335,512.46
  5. Step 5: Solve for x
    x = 335,512.46/275.20
  6. Step 6: Final answer
    x = 1,219.14

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.