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Finding the Third Proportional to 550.50 and 885.19

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Solution

The third proportional to 550.50 and 885.19 is: 1,423.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.50 : 885.19 = 885.19 : x
  2. Step 2: Convert to fraction form
    550.50/885.19 = 885.19/x
  3. Step 3: Cross multiply
    550.50x = 885.19 × 885.19
  4. Step 4: Simplify right side
    550.50x = 783,556.91
  5. Step 5: Solve for x
    x = 783,556.91/550.50
  6. Step 6: Final answer
    x = 1,423.35

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.