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Finding the Third Proportional to 794.25 and 1,828.88

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Solution

The third proportional to 794.25 and 1,828.88 is: 4,211.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.25 : 1,828.88 = 1,828.88 : x
  2. Step 2: Convert to fraction form
    794.25/1,828.88 = 1,828.88/x
  3. Step 3: Cross multiply
    794.25x = 1,828.88 × 1,828.88
  4. Step 4: Simplify right side
    794.25x = 3,344,783.77
  5. Step 5: Solve for x
    x = 3,344,783.77/794.25
  6. Step 6: Final answer
    x = 4,211.25

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.