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Finding the Third Proportional to 537.75 and 858.56

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Solution

The third proportional to 537.75 and 858.56 is: 1,370.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.75 : 858.56 = 858.56 : x
  2. Step 2: Convert to fraction form
    537.75/858.56 = 858.56/x
  3. Step 3: Cross multiply
    537.75x = 858.56 × 858.56
  4. Step 4: Simplify right side
    537.75x = 737,129.57
  5. Step 5: Solve for x
    x = 737,129.57/537.75
  6. Step 6: Final answer
    x = 1,370.77

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.