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Finding the Third Proportional to 383,467.50 and 525,993.75

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Solution

The third proportional to 383,467.50 and 525,993.75 is: 721,493.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,467.50 : 525,993.75 = 525,993.75 : x
  2. Step 2: Convert to fraction form
    383,467.50/525,993.75 = 525,993.75/x
  3. Step 3: Cross multiply
    383,467.50x = 525,993.75 × 525,993.75
  4. Step 4: Simplify right side
    383,467.50x = 276,669,425,039.06
  5. Step 5: Solve for x
    x = 276,669,425,039.06/383,467.50
  6. Step 6: Final answer
    x = 721,493.80

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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.