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Finding the Third Proportional to 858.73 and 942.26

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Solution

The third proportional to 858.73 and 942.26 is: 1,033.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.73 : 942.26 = 942.26 : x
  2. Step 2: Convert to fraction form
    858.73/942.26 = 942.26/x
  3. Step 3: Cross multiply
    858.73x = 942.26 × 942.26
  4. Step 4: Simplify right side
    858.73x = 887,849.79
  5. Step 5: Solve for x
    x = 887,849.79/858.73
  6. Step 6: Final answer
    x = 1,033.91

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.