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Finding the Third Proportional to 837.56 and 1,200.75

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Solution

The third proportional to 837.56 and 1,200.75 is: 1,721.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.56 : 1,200.75 = 1,200.75 : x
  2. Step 2: Convert to fraction form
    837.56/1,200.75 = 1,200.75/x
  3. Step 3: Cross multiply
    837.56x = 1,200.75 × 1,200.75
  4. Step 4: Simplify right side
    837.56x = 1,441,800.56
  5. Step 5: Solve for x
    x = 1,441,800.56/837.56
  6. Step 6: Final answer
    x = 1,721.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.