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Finding the Third Proportional to 362.32 and 779.27

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Solution

The third proportional to 362.32 and 779.27 is: 1,676.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.32 : 779.27 = 779.27 : x
  2. Step 2: Convert to fraction form
    362.32/779.27 = 779.27/x
  3. Step 3: Cross multiply
    362.32x = 779.27 × 779.27
  4. Step 4: Simplify right side
    362.32x = 607,267.09
  5. Step 5: Solve for x
    x = 607,267.09/362.32
  6. Step 6: Final answer
    x = 1,676.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.