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Finding the Third Proportional to 263,103 and 384,825

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Solution

The third proportional to 263,103 and 384,825 is: 562,860.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,103 : 384,825 = 384,825 : x
  2. Step 2: Convert to fraction form
    263,103/384,825 = 384,825/x
  3. Step 3: Cross multiply
    263,103x = 384,825 × 384,825
  4. Step 4: Simplify right side
    263,103x = 148,090,280,625
  5. Step 5: Solve for x
    x = 148,090,280,625/263,103
  6. Step 6: Final answer
    x = 562,860.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.