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Finding the Third Proportional to 365,530 and 815,107.50

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Solution

The third proportional to 365,530 and 815,107.50 is: 1,817,635.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,530 : 815,107.50 = 815,107.50 : x
  2. Step 2: Convert to fraction form
    365,530/815,107.50 = 815,107.50/x
  3. Step 3: Cross multiply
    365,530x = 815,107.50 × 815,107.50
  4. Step 4: Simplify right side
    365,530x = 664,400,236,556.25
  5. Step 5: Solve for x
    x = 664,400,236,556.25/365,530
  6. Step 6: Final answer
    x = 1,817,635.31

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.