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Finding the Third Proportional to 523.97 and 744.94

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Solution

The third proportional to 523.97 and 744.94 is: 1,059.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.97 : 744.94 = 744.94 : x
  2. Step 2: Convert to fraction form
    523.97/744.94 = 744.94/x
  3. Step 3: Cross multiply
    523.97x = 744.94 × 744.94
  4. Step 4: Simplify right side
    523.97x = 554,931.88
  5. Step 5: Solve for x
    x = 554,931.88/523.97
  6. Step 6: Final answer
    x = 1,059.09

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.