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Finding the Third Proportional to 884.04 and 1,745.93

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Solution

The third proportional to 884.04 and 1,745.93 is: 3,448.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.04 : 1,745.93 = 1,745.93 : x
  2. Step 2: Convert to fraction form
    884.04/1,745.93 = 1,745.93/x
  3. Step 3: Cross multiply
    884.04x = 1,745.93 × 1,745.93
  4. Step 4: Simplify right side
    884.04x = 3,048,270.47
  5. Step 5: Solve for x
    x = 3,048,270.47/884.04
  6. Step 6: Final answer
    x = 3,448.12

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.