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Finding the Third Proportional to 465.50 and 996.25

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Solution

The third proportional to 465.50 and 996.25 is: 2,132.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.50 : 996.25 = 996.25 : x
  2. Step 2: Convert to fraction form
    465.50/996.25 = 996.25/x
  3. Step 3: Cross multiply
    465.50x = 996.25 × 996.25
  4. Step 4: Simplify right side
    465.50x = 992,514.06
  5. Step 5: Solve for x
    x = 992,514.06/465.50
  6. Step 6: Final answer
    x = 2,132.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.