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Finding the Third Proportional to 279.84 and 435.09

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Solution

The third proportional to 279.84 and 435.09 is: 676.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.84 : 435.09 = 435.09 : x
  2. Step 2: Convert to fraction form
    279.84/435.09 = 435.09/x
  3. Step 3: Cross multiply
    279.84x = 435.09 × 435.09
  4. Step 4: Simplify right side
    279.84x = 189,306.57
  5. Step 5: Solve for x
    x = 189,306.57/279.84
  6. Step 6: Final answer
    x = 676.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.