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Finding the Third Proportional to 483.94 and 1,048.69

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Solution

The third proportional to 483.94 and 1,048.69 is: 2,272.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.94 : 1,048.69 = 1,048.69 : x
  2. Step 2: Convert to fraction form
    483.94/1,048.69 = 1,048.69/x
  3. Step 3: Cross multiply
    483.94x = 1,048.69 × 1,048.69
  4. Step 4: Simplify right side
    483.94x = 1,099,745.47
  5. Step 5: Solve for x
    x = 1,099,745.47/483.94
  6. Step 6: Final answer
    x = 2,272.49

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.