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Finding the Third Proportional to 409.50 and 793.50

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Solution

The third proportional to 409.50 and 793.50 is: 1,537.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.50 : 793.50 = 793.50 : x
  2. Step 2: Convert to fraction form
    409.50/793.50 = 793.50/x
  3. Step 3: Cross multiply
    409.50x = 793.50 × 793.50
  4. Step 4: Simplify right side
    409.50x = 629,642.25
  5. Step 5: Solve for x
    x = 629,642.25/409.50
  6. Step 6: Final answer
    x = 1,537.59

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.