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Finding the Third Proportional to 262,559 and 534,749

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Solution

The third proportional to 262,559 and 534,749 is: 1,089,113.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,559 : 534,749 = 534,749 : x
  2. Step 2: Convert to fraction form
    262,559/534,749 = 534,749/x
  3. Step 3: Cross multiply
    262,559x = 534,749 × 534,749
  4. Step 4: Simplify right side
    262,559x = 285,956,493,001
  5. Step 5: Solve for x
    x = 285,956,493,001/262,559
  6. Step 6: Final answer
    x = 1,089,113.28

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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.