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Finding the Third Proportional to 262,565 and 534,759

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Solution

The third proportional to 262,565 and 534,759 is: 1,089,129.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,565 : 534,759 = 534,759 : x
  2. Step 2: Convert to fraction form
    262,565/534,759 = 534,759/x
  3. Step 3: Cross multiply
    262,565x = 534,759 × 534,759
  4. Step 4: Simplify right side
    262,565x = 285,967,188,081
  5. Step 5: Solve for x
    x = 285,967,188,081/262,565
  6. Step 6: Final answer
    x = 1,089,129.12

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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.