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Finding the Third Proportional to 605.50 and 1,289.75

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Solution

The third proportional to 605.50 and 1,289.75 is: 2,747.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.50 : 1,289.75 = 1,289.75 : x
  2. Step 2: Convert to fraction form
    605.50/1,289.75 = 1,289.75/x
  3. Step 3: Cross multiply
    605.50x = 1,289.75 × 1,289.75
  4. Step 4: Simplify right side
    605.50x = 1,663,455.06
  5. Step 5: Solve for x
    x = 1,663,455.06/605.50
  6. Step 6: Final answer
    x = 2,747.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.