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Finding the Third Proportional to 467.44 and 979.59

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Solution

The third proportional to 467.44 and 979.59 is: 2,052.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.44 : 979.59 = 979.59 : x
  2. Step 2: Convert to fraction form
    467.44/979.59 = 979.59/x
  3. Step 3: Cross multiply
    467.44x = 979.59 × 979.59
  4. Step 4: Simplify right side
    467.44x = 959,603.92
  5. Step 5: Solve for x
    x = 959,603.92/467.44
  6. Step 6: Final answer
    x = 2,052.90

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.