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Finding the Third Proportional to 262,558.50 and 534,747

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Solution

The third proportional to 262,558.50 and 534,747 is: 1,089,107.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,558.50 : 534,747 = 534,747 : x
  2. Step 2: Convert to fraction form
    262,558.50/534,747 = 534,747/x
  3. Step 3: Cross multiply
    262,558.50x = 534,747 × 534,747
  4. Step 4: Simplify right side
    262,558.50x = 285,954,354,009
  5. Step 5: Solve for x
    x = 285,954,354,009/262,558.50
  6. Step 6: Final answer
    x = 1,089,107.20

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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.