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Finding the Third Proportional to 262,556.88 and 534,744.50

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Solution

The third proportional to 262,556.88 and 534,744.50 is: 1,089,103.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,556.88 : 534,744.50 = 534,744.50 : x
  2. Step 2: Convert to fraction form
    262,556.88/534,744.50 = 534,744.50/x
  3. Step 3: Cross multiply
    262,556.88x = 534,744.50 × 534,744.50
  4. Step 4: Simplify right side
    262,556.88x = 285,951,680,280.25
  5. Step 5: Solve for x
    x = 285,951,680,280.25/262,556.88
  6. Step 6: Final answer
    x = 1,089,103.76

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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.