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Finding the Third Proportional to 286 and 673

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Solution

The third proportional to 286 and 673 is: 1,583.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    286 : 673 = 673 : x
  2. Step 2: Convert to fraction form
    286/673 = 673/x
  3. Step 3: Cross multiply
    286x = 673 × 673
  4. Step 4: Simplify right side
    286x = 452,929
  5. Step 5: Solve for x
    x = 452,929/286
  6. Step 6: Final answer
    x = 1,583.67

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.