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Finding the Third Proportional to 525.94 and 1,270.97

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Solution

The third proportional to 525.94 and 1,270.97 is: 3,071.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.94 : 1,270.97 = 1,270.97 : x
  2. Step 2: Convert to fraction form
    525.94/1,270.97 = 1,270.97/x
  3. Step 3: Cross multiply
    525.94x = 1,270.97 × 1,270.97
  4. Step 4: Simplify right side
    525.94x = 1,615,361.56
  5. Step 5: Solve for x
    x = 1,615,361.56/525.94
  6. Step 6: Final answer
    x = 3,071.39

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.