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Finding the Third Proportional to 262,560 and 534,751

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Solution

The third proportional to 262,560 and 534,751 is: 1,089,117.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,560 : 534,751 = 534,751 : x
  2. Step 2: Convert to fraction form
    262,560/534,751 = 534,751/x
  3. Step 3: Cross multiply
    262,560x = 534,751 × 534,751
  4. Step 4: Simplify right side
    262,560x = 285,958,632,001
  5. Step 5: Solve for x
    x = 285,958,632,001/262,560
  6. Step 6: Final answer
    x = 1,089,117.28

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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.