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Finding the Third Proportional to 229,069 and 483,990

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Solution

The third proportional to 229,069 and 483,990 is: 1,022,601.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,069 : 483,990 = 483,990 : x
  2. Step 2: Convert to fraction form
    229,069/483,990 = 483,990/x
  3. Step 3: Cross multiply
    229,069x = 483,990 × 483,990
  4. Step 4: Simplify right side
    229,069x = 234,246,320,100
  5. Step 5: Solve for x
    x = 234,246,320,100/229,069
  6. Step 6: Final answer
    x = 1,022,601.57

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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.