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Finding the Third Proportional to 298,928.25 and 444,135.38

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Solution

The third proportional to 298,928.25 and 444,135.38 is: 659,878.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,928.25 : 444,135.38 = 444,135.38 : x
  2. Step 2: Convert to fraction form
    298,928.25/444,135.38 = 444,135.38/x
  3. Step 3: Cross multiply
    298,928.25x = 444,135.38 × 444,135.38
  4. Step 4: Simplify right side
    298,928.25x = 197,256,231,326.39
  5. Step 5: Solve for x
    x = 197,256,231,326.39/298,928.25
  6. Step 6: Final answer
    x = 659,878.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.