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Finding the Third Proportional to 204,948 and 444,888

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Solution

The third proportional to 204,948 and 444,888 is: 965,734.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,948 : 444,888 = 444,888 : x
  2. Step 2: Convert to fraction form
    204,948/444,888 = 444,888/x
  3. Step 3: Cross multiply
    204,948x = 444,888 × 444,888
  4. Step 4: Simplify right side
    204,948x = 197,925,332,544
  5. Step 5: Solve for x
    x = 197,925,332,544/204,948
  6. Step 6: Final answer
    x = 965,734.39

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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.