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Finding the Third Proportional to 762.75 and 1,796.77

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Solution

The third proportional to 762.75 and 1,796.77 is: 4,232.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.75 : 1,796.77 = 1,796.77 : x
  2. Step 2: Convert to fraction form
    762.75/1,796.77 = 1,796.77/x
  3. Step 3: Cross multiply
    762.75x = 1,796.77 × 1,796.77
  4. Step 4: Simplify right side
    762.75x = 3,228,366.71
  5. Step 5: Solve for x
    x = 3,228,366.71/762.75
  6. Step 6: Final answer
    x = 4,232.54

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.