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Finding the Third Proportional to 829.25 and 1,219.88

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Solution

The third proportional to 829.25 and 1,219.88 is: 1,794.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.25 : 1,219.88 = 1,219.88 : x
  2. Step 2: Convert to fraction form
    829.25/1,219.88 = 1,219.88/x
  3. Step 3: Cross multiply
    829.25x = 1,219.88 × 1,219.88
  4. Step 4: Simplify right side
    829.25x = 1,488,095.02
  5. Step 5: Solve for x
    x = 1,488,095.02/829.25
  6. Step 6: Final answer
    x = 1,794.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.