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Finding the Third Proportional to 262,561 and 534,753

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Solution

The third proportional to 262,561 and 534,753 is: 1,089,121.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,561 : 534,753 = 534,753 : x
  2. Step 2: Convert to fraction form
    262,561/534,753 = 534,753/x
  3. Step 3: Cross multiply
    262,561x = 534,753 × 534,753
  4. Step 4: Simplify right side
    262,561x = 285,960,771,009
  5. Step 5: Solve for x
    x = 285,960,771,009/262,561
  6. Step 6: Final answer
    x = 1,089,121.27

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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.