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Finding the Third Proportional to 772.75 and 1,104.38

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Solution

The third proportional to 772.75 and 1,104.38 is: 1,578.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.75 : 1,104.38 = 1,104.38 : x
  2. Step 2: Convert to fraction form
    772.75/1,104.38 = 1,104.38/x
  3. Step 3: Cross multiply
    772.75x = 1,104.38 × 1,104.38
  4. Step 4: Simplify right side
    772.75x = 1,219,644.14
  5. Step 5: Solve for x
    x = 1,219,644.14/772.75
  6. Step 6: Final answer
    x = 1,578.32

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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.