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Finding the Third Proportional to 358,814 and 845,825

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Solution

The third proportional to 358,814 and 845,825 is: 1,993,846.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,814 : 845,825 = 845,825 : x
  2. Step 2: Convert to fraction form
    358,814/845,825 = 845,825/x
  3. Step 3: Cross multiply
    358,814x = 845,825 × 845,825
  4. Step 4: Simplify right side
    358,814x = 715,419,930,625
  5. Step 5: Solve for x
    x = 715,419,930,625/358,814
  6. Step 6: Final answer
    x = 1,993,846.20

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.