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Finding the Third Proportional to 730.83 and 1,635.33

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Solution

The third proportional to 730.83 and 1,635.33 is: 3,659.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.83 : 1,635.33 = 1,635.33 : x
  2. Step 2: Convert to fraction form
    730.83/1,635.33 = 1,635.33/x
  3. Step 3: Cross multiply
    730.83x = 1,635.33 × 1,635.33
  4. Step 4: Simplify right side
    730.83x = 2,674,298.08
  5. Step 5: Solve for x
    x = 2,674,298.08/730.83
  6. Step 6: Final answer
    x = 3,659.27

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.