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Finding the Third Proportional to 363,986.44 and 774,651.94

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Solution

The third proportional to 363,986.44 and 774,651.94 is: 1,648,648.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,986.44 : 774,651.94 = 774,651.94 : x
  2. Step 2: Convert to fraction form
    363,986.44/774,651.94 = 774,651.94/x
  3. Step 3: Cross multiply
    363,986.44x = 774,651.94 × 774,651.94
  4. Step 4: Simplify right side
    363,986.44x = 600,085,624,272.50
  5. Step 5: Solve for x
    x = 600,085,624,272.50/363,986.44
  6. Step 6: Final answer
    x = 1,648,648.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.