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Finding the Third Proportional to 537.94 and 855.94

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Solution

The third proportional to 537.94 and 855.94 is: 1,361.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.94 : 855.94 = 855.94 : x
  2. Step 2: Convert to fraction form
    537.94/855.94 = 855.94/x
  3. Step 3: Cross multiply
    537.94x = 855.94 × 855.94
  4. Step 4: Simplify right side
    537.94x = 732,629.00
  5. Step 5: Solve for x
    x = 732,629.00/537.94
  6. Step 6: Final answer
    x = 1,361.92

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.