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Finding the Third Proportional to 279.07 and 600.54

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Solution

The third proportional to 279.07 and 600.54 is: 1,292.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.07 : 600.54 = 600.54 : x
  2. Step 2: Convert to fraction form
    279.07/600.54 = 600.54/x
  3. Step 3: Cross multiply
    279.07x = 600.54 × 600.54
  4. Step 4: Simplify right side
    279.07x = 360,647.17
  5. Step 5: Solve for x
    x = 360,647.17/279.07
  6. Step 6: Final answer
    x = 1,292.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.