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Finding the Third Proportional to 788.75 and 860.75

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Solution

The third proportional to 788.75 and 860.75 is: 939.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.75 : 860.75 = 860.75 : x
  2. Step 2: Convert to fraction form
    788.75/860.75 = 860.75/x
  3. Step 3: Cross multiply
    788.75x = 860.75 × 860.75
  4. Step 4: Simplify right side
    788.75x = 740,890.56
  5. Step 5: Solve for x
    x = 740,890.56/788.75
  6. Step 6: Final answer
    x = 939.32

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.