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Finding the Third Proportional to 576.38 and 822.94

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Solution

The third proportional to 576.38 and 822.94 is: 1,174.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.38 : 822.94 = 822.94 : x
  2. Step 2: Convert to fraction form
    576.38/822.94 = 822.94/x
  3. Step 3: Cross multiply
    576.38x = 822.94 × 822.94
  4. Step 4: Simplify right side
    576.38x = 677,226.13
  5. Step 5: Solve for x
    x = 677,226.13/576.38
  6. Step 6: Final answer
    x = 1,174.97

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.