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Finding the Third Proportional to 793.41 and 1,209.09

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Solution

The third proportional to 793.41 and 1,209.09 is: 1,842.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.41 : 1,209.09 = 1,209.09 : x
  2. Step 2: Convert to fraction form
    793.41/1,209.09 = 1,209.09/x
  3. Step 3: Cross multiply
    793.41x = 1,209.09 × 1,209.09
  4. Step 4: Simplify right side
    793.41x = 1,461,907.70
  5. Step 5: Solve for x
    x = 1,461,907.70/793.41
  6. Step 6: Final answer
    x = 1,842.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.