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Finding the Third Proportional to 279.54 and 604.18

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Solution

The third proportional to 279.54 and 604.18 is: 1,305.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.54 : 604.18 = 604.18 : x
  2. Step 2: Convert to fraction form
    279.54/604.18 = 604.18/x
  3. Step 3: Cross multiply
    279.54x = 604.18 × 604.18
  4. Step 4: Simplify right side
    279.54x = 365,030.73
  5. Step 5: Solve for x
    x = 365,030.73/279.54
  6. Step 6: Final answer
    x = 1,305.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.