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Finding the Third Proportional to 204,074.25 and 476,546.25

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Solution

The third proportional to 204,074.25 and 476,546.25 is: 1,112,812.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,074.25 : 476,546.25 = 476,546.25 : x
  2. Step 2: Convert to fraction form
    204,074.25/476,546.25 = 476,546.25/x
  3. Step 3: Cross multiply
    204,074.25x = 476,546.25 × 476,546.25
  4. Step 4: Simplify right side
    204,074.25x = 227,096,328,389.06
  5. Step 5: Solve for x
    x = 227,096,328,389.06/204,074.25
  6. Step 6: Final answer
    x = 1,112,812.27

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.