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Finding the Third Proportional to 790.94 and 1,217.37

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Solution

The third proportional to 790.94 and 1,217.37 is: 1,873.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.94 : 1,217.37 = 1,217.37 : x
  2. Step 2: Convert to fraction form
    790.94/1,217.37 = 1,217.37/x
  3. Step 3: Cross multiply
    790.94x = 1,217.37 × 1,217.37
  4. Step 4: Simplify right side
    790.94x = 1,481,997.14
  5. Step 5: Solve for x
    x = 1,481,997.14/790.94
  6. Step 6: Final answer
    x = 1,873.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.