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Finding the Third Proportional to 374,550 and 825,450

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Solution

The third proportional to 374,550 and 825,450 is: 1,819,163.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,550 : 825,450 = 825,450 : x
  2. Step 2: Convert to fraction form
    374,550/825,450 = 825,450/x
  3. Step 3: Cross multiply
    374,550x = 825,450 × 825,450
  4. Step 4: Simplify right side
    374,550x = 681,367,702,500
  5. Step 5: Solve for x
    x = 681,367,702,500/374,550
  6. Step 6: Final answer
    x = 1,819,163.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.