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Finding the Third Proportional to 465.75 and 1,022.06

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Solution

The third proportional to 465.75 and 1,022.06 is: 2,242.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.75 : 1,022.06 = 1,022.06 : x
  2. Step 2: Convert to fraction form
    465.75/1,022.06 = 1,022.06/x
  3. Step 3: Cross multiply
    465.75x = 1,022.06 × 1,022.06
  4. Step 4: Simplify right side
    465.75x = 1,044,611.75
  5. Step 5: Solve for x
    x = 1,044,611.75/465.75
  6. Step 6: Final answer
    x = 2,242.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.