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Finding the Third Proportional to 383,467.50 and 525,991.50

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Solution

The third proportional to 383,467.50 and 525,991.50 is: 721,487.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,467.50 : 525,991.50 = 525,991.50 : x
  2. Step 2: Convert to fraction form
    383,467.50/525,991.50 = 525,991.50/x
  3. Step 3: Cross multiply
    383,467.50x = 525,991.50 × 525,991.50
  4. Step 4: Simplify right side
    383,467.50x = 276,667,058,072.25
  5. Step 5: Solve for x
    x = 276,667,058,072.25/383,467.50
  6. Step 6: Final answer
    x = 721,487.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.