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Finding the Third Proportional to 810.75 and 1,212.25

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Solution

The third proportional to 810.75 and 1,212.25 is: 1,812.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.75 : 1,212.25 = 1,212.25 : x
  2. Step 2: Convert to fraction form
    810.75/1,212.25 = 1,212.25/x
  3. Step 3: Cross multiply
    810.75x = 1,212.25 × 1,212.25
  4. Step 4: Simplify right side
    810.75x = 1,469,550.06
  5. Step 5: Solve for x
    x = 1,469,550.06/810.75
  6. Step 6: Final answer
    x = 1,812.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.