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Finding the Third Proportional to 784.69 and 1,844.44

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Solution

The third proportional to 784.69 and 1,844.44 is: 4,335.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.69 : 1,844.44 = 1,844.44 : x
  2. Step 2: Convert to fraction form
    784.69/1,844.44 = 1,844.44/x
  3. Step 3: Cross multiply
    784.69x = 1,844.44 × 1,844.44
  4. Step 4: Simplify right side
    784.69x = 3,401,949.69
  5. Step 5: Solve for x
    x = 3,401,949.69/784.69
  6. Step 6: Final answer
    x = 4,335.42

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.