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Finding the Third Proportional to 262,574 and 534,782

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Solution

The third proportional to 262,574 and 534,782 is: 1,089,185.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,574 : 534,782 = 534,782 : x
  2. Step 2: Convert to fraction form
    262,574/534,782 = 534,782/x
  3. Step 3: Cross multiply
    262,574x = 534,782 × 534,782
  4. Step 4: Simplify right side
    262,574x = 285,991,787,524
  5. Step 5: Solve for x
    x = 285,991,787,524/262,574
  6. Step 6: Final answer
    x = 1,089,185.48

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.