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Finding the Third Proportional to 823.92 and 1,644.05

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Solution

The third proportional to 823.92 and 1,644.05 is: 3,280.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.92 : 1,644.05 = 1,644.05 : x
  2. Step 2: Convert to fraction form
    823.92/1,644.05 = 1,644.05/x
  3. Step 3: Cross multiply
    823.92x = 1,644.05 × 1,644.05
  4. Step 4: Simplify right side
    823.92x = 2,702,890.13
  5. Step 5: Solve for x
    x = 2,702,890.13/823.92
  6. Step 6: Final answer
    x = 3,280.52

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.