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Finding the Third Proportional to 236,483 and 484,016

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Solution

The third proportional to 236,483 and 484,016 is: 990,648.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,483 : 484,016 = 484,016 : x
  2. Step 2: Convert to fraction form
    236,483/484,016 = 484,016/x
  3. Step 3: Cross multiply
    236,483x = 484,016 × 484,016
  4. Step 4: Simplify right side
    236,483x = 234,271,488,256
  5. Step 5: Solve for x
    x = 234,271,488,256/236,483
  6. Step 6: Final answer
    x = 990,648.33

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.