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Finding the Third Proportional to 204,597 and 444,185

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Solution

The third proportional to 204,597 and 444,185 is: 964,336.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,597 : 444,185 = 444,185 : x
  2. Step 2: Convert to fraction form
    204,597/444,185 = 444,185/x
  3. Step 3: Cross multiply
    204,597x = 444,185 × 444,185
  4. Step 4: Simplify right side
    204,597x = 197,300,314,225
  5. Step 5: Solve for x
    x = 197,300,314,225/204,597
  6. Step 6: Final answer
    x = 964,336.30

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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.