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Finding the Third Proportional to 204,045 and 444,224

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Solution

The third proportional to 204,045 and 444,224 is: 967,114.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,045 : 444,224 = 444,224 : x
  2. Step 2: Convert to fraction form
    204,045/444,224 = 444,224/x
  3. Step 3: Cross multiply
    204,045x = 444,224 × 444,224
  4. Step 4: Simplify right side
    204,045x = 197,334,962,176
  5. Step 5: Solve for x
    x = 197,334,962,176/204,045
  6. Step 6: Final answer
    x = 967,114.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.