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Finding the Third Proportional to 204,575.75 and 444,562.25

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Solution

The third proportional to 204,575.75 and 444,562.25 is: 966,075.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,575.75 : 444,562.25 = 444,562.25 : x
  2. Step 2: Convert to fraction form
    204,575.75/444,562.25 = 444,562.25/x
  3. Step 3: Cross multiply
    204,575.75x = 444,562.25 × 444,562.25
  4. Step 4: Simplify right side
    204,575.75x = 197,635,594,125.06
  5. Step 5: Solve for x
    x = 197,635,594,125.06/204,575.75
  6. Step 6: Final answer
    x = 966,075.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.