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Finding the Third Proportional to 370,728 and 864,067.50

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Solution

The third proportional to 370,728 and 864,067.50 is: 2,013,909.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,728 : 864,067.50 = 864,067.50 : x
  2. Step 2: Convert to fraction form
    370,728/864,067.50 = 864,067.50/x
  3. Step 3: Cross multiply
    370,728x = 864,067.50 × 864,067.50
  4. Step 4: Simplify right side
    370,728x = 746,612,644,556.25
  5. Step 5: Solve for x
    x = 746,612,644,556.25/370,728
  6. Step 6: Final answer
    x = 2,013,909.51

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.