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Finding the Third Proportional to 279.70 and 403.92

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Solution

The third proportional to 279.70 and 403.92 is: 583.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.70 : 403.92 = 403.92 : x
  2. Step 2: Convert to fraction form
    279.70/403.92 = 403.92/x
  3. Step 3: Cross multiply
    279.70x = 403.92 × 403.92
  4. Step 4: Simplify right side
    279.70x = 163,152.88
  5. Step 5: Solve for x
    x = 163,152.88/279.70
  6. Step 6: Final answer
    x = 583.31

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.