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Finding the Third Proportional to 773.25 and 1,448.25

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Solution

The third proportional to 773.25 and 1,448.25 is: 2,712.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.25 : 1,448.25 = 1,448.25 : x
  2. Step 2: Convert to fraction form
    773.25/1,448.25 = 1,448.25/x
  3. Step 3: Cross multiply
    773.25x = 1,448.25 × 1,448.25
  4. Step 4: Simplify right side
    773.25x = 2,097,428.06
  5. Step 5: Solve for x
    x = 2,097,428.06/773.25
  6. Step 6: Final answer
    x = 2,712.48

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.