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Finding the Third Proportional to 550.55 and 823.08

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Solution

The third proportional to 550.55 and 823.08 is: 1,230.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.55 : 823.08 = 823.08 : x
  2. Step 2: Convert to fraction form
    550.55/823.08 = 823.08/x
  3. Step 3: Cross multiply
    550.55x = 823.08 × 823.08
  4. Step 4: Simplify right side
    550.55x = 677,457.60
  5. Step 5: Solve for x
    x = 677,457.60/550.55
  6. Step 6: Final answer
    x = 1,230.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.