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Finding the Third Proportional to 279.91 and 729.42

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Solution

The third proportional to 279.91 and 729.42 is: 1,900.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.91 : 729.42 = 729.42 : x
  2. Step 2: Convert to fraction form
    279.91/729.42 = 729.42/x
  3. Step 3: Cross multiply
    279.91x = 729.42 × 729.42
  4. Step 4: Simplify right side
    279.91x = 532,056.27
  5. Step 5: Solve for x
    x = 532,056.27/279.91
  6. Step 6: Final answer
    x = 1,900.78

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Why These Related Problems?

These problems maintain the same ratio (2.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.