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Finding the Third Proportional to 452 and 838.75

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Solution

The third proportional to 452 and 838.75 is: 1,556.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    452 : 838.75 = 838.75 : x
  2. Step 2: Convert to fraction form
    452/838.75 = 838.75/x
  3. Step 3: Cross multiply
    452x = 838.75 × 838.75
  4. Step 4: Simplify right side
    452x = 703,501.56
  5. Step 5: Solve for x
    x = 703,501.56/452
  6. Step 6: Final answer
    x = 1,556.42

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.