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Finding the Third Proportional to 229,067 and 483,986

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Solution

The third proportional to 229,067 and 483,986 is: 1,022,593.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,067 : 483,986 = 483,986 : x
  2. Step 2: Convert to fraction form
    229,067/483,986 = 483,986/x
  3. Step 3: Cross multiply
    229,067x = 483,986 × 483,986
  4. Step 4: Simplify right side
    229,067x = 234,242,448,196
  5. Step 5: Solve for x
    x = 234,242,448,196/229,067
  6. Step 6: Final answer
    x = 1,022,593.60

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.