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Finding the Third Proportional to 465.75 and 1,022.63

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Solution

The third proportional to 465.75 and 1,022.63 is: 2,245.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.75 : 1,022.63 = 1,022.63 : x
  2. Step 2: Convert to fraction form
    465.75/1,022.63 = 1,022.63/x
  3. Step 3: Cross multiply
    465.75x = 1,022.63 × 1,022.63
  4. Step 4: Simplify right side
    465.75x = 1,045,761.89
  5. Step 5: Solve for x
    x = 1,045,761.89/465.75
  6. Step 6: Final answer
    x = 2,245.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.