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Finding the Third Proportional to 777.94 and 1,027.69

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Solution

The third proportional to 777.94 and 1,027.69 is: 1,357.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.94 : 1,027.69 = 1,027.69 : x
  2. Step 2: Convert to fraction form
    777.94/1,027.69 = 1,027.69/x
  3. Step 3: Cross multiply
    777.94x = 1,027.69 × 1,027.69
  4. Step 4: Simplify right side
    777.94x = 1,056,141.60
  5. Step 5: Solve for x
    x = 1,056,141.60/777.94
  6. Step 6: Final answer
    x = 1,357.62

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.