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Finding the Third Proportional to 366,983 and 743,825

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Solution

The third proportional to 366,983 and 743,825 is: 1,507,632.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,983 : 743,825 = 743,825 : x
  2. Step 2: Convert to fraction form
    366,983/743,825 = 743,825/x
  3. Step 3: Cross multiply
    366,983x = 743,825 × 743,825
  4. Step 4: Simplify right side
    366,983x = 553,275,630,625
  5. Step 5: Solve for x
    x = 553,275,630,625/366,983
  6. Step 6: Final answer
    x = 1,507,632.86

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.