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Finding the Third Proportional to 262,569 and 534,774

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Solution

The third proportional to 262,569 and 534,774 is: 1,089,173.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,569 : 534,774 = 534,774 : x
  2. Step 2: Convert to fraction form
    262,569/534,774 = 534,774/x
  3. Step 3: Cross multiply
    262,569x = 534,774 × 534,774
  4. Step 4: Simplify right side
    262,569x = 285,983,231,076
  5. Step 5: Solve for x
    x = 285,983,231,076/262,569
  6. Step 6: Final answer
    x = 1,089,173.63

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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.