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Finding the Third Proportional to 299,804.25 and 611,651.25

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Solution

The third proportional to 299,804.25 and 611,651.25 is: 1,247,871.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,804.25 : 611,651.25 = 611,651.25 : x
  2. Step 2: Convert to fraction form
    299,804.25/611,651.25 = 611,651.25/x
  3. Step 3: Cross multiply
    299,804.25x = 611,651.25 × 611,651.25
  4. Step 4: Simplify right side
    299,804.25x = 374,117,251,626.56
  5. Step 5: Solve for x
    x = 374,117,251,626.56/299,804.25
  6. Step 6: Final answer
    x = 1,247,871.74

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.