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Finding the Third Proportional to 780.81 and 1,633.75

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Solution

The third proportional to 780.81 and 1,633.75 is: 3,418.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.81 : 1,633.75 = 1,633.75 : x
  2. Step 2: Convert to fraction form
    780.81/1,633.75 = 1,633.75/x
  3. Step 3: Cross multiply
    780.81x = 1,633.75 × 1,633.75
  4. Step 4: Simplify right side
    780.81x = 2,669,139.06
  5. Step 5: Solve for x
    x = 2,669,139.06/780.81
  6. Step 6: Final answer
    x = 3,418.41

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.