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Finding the Third Proportional to 226,400.25 and 523,704

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Solution

The third proportional to 226,400.25 and 523,704 is: 1,211,420.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,400.25 : 523,704 = 523,704 : x
  2. Step 2: Convert to fraction form
    226,400.25/523,704 = 523,704/x
  3. Step 3: Cross multiply
    226,400.25x = 523,704 × 523,704
  4. Step 4: Simplify right side
    226,400.25x = 274,265,879,616
  5. Step 5: Solve for x
    x = 274,265,879,616/226,400.25
  6. Step 6: Final answer
    x = 1,211,420.39

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.