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Finding the Third Proportional to 794.44 and 1,134.94

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Solution

The third proportional to 794.44 and 1,134.94 is: 1,621.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.44 : 1,134.94 = 1,134.94 : x
  2. Step 2: Convert to fraction form
    794.44/1,134.94 = 1,134.94/x
  3. Step 3: Cross multiply
    794.44x = 1,134.94 × 1,134.94
  4. Step 4: Simplify right side
    794.44x = 1,288,083.13
  5. Step 5: Solve for x
    x = 1,288,083.13/794.44
  6. Step 6: Final answer
    x = 1,621.38

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.