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Finding the Third Proportional to 223,629.75 and 447,075

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Solution

The third proportional to 223,629.75 and 447,075 is: 893,781.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,629.75 : 447,075 = 447,075 : x
  2. Step 2: Convert to fraction form
    223,629.75/447,075 = 447,075/x
  3. Step 3: Cross multiply
    223,629.75x = 447,075 × 447,075
  4. Step 4: Simplify right side
    223,629.75x = 199,876,055,625
  5. Step 5: Solve for x
    x = 199,876,055,625/223,629.75
  6. Step 6: Final answer
    x = 893,781.15

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.