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Finding the Third Proportional to 262,567 and 534,765

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Solution

The third proportional to 262,567 and 534,765 is: 1,089,145.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,567 : 534,765 = 534,765 : x
  2. Step 2: Convert to fraction form
    262,567/534,765 = 534,765/x
  3. Step 3: Cross multiply
    262,567x = 534,765 × 534,765
  4. Step 4: Simplify right side
    262,567x = 285,973,605,225
  5. Step 5: Solve for x
    x = 285,973,605,225/262,567
  6. Step 6: Final answer
    x = 1,089,145.27

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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.