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Finding the Third Proportional to 279.84 and 677.67

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Solution

The third proportional to 279.84 and 677.67 is: 1,641.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.84 : 677.67 = 677.67 : x
  2. Step 2: Convert to fraction form
    279.84/677.67 = 677.67/x
  3. Step 3: Cross multiply
    279.84x = 677.67 × 677.67
  4. Step 4: Simplify right side
    279.84x = 459,239.17
  5. Step 5: Solve for x
    x = 459,239.17/279.84
  6. Step 6: Final answer
    x = 1,641.06

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.