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Finding the Third Proportional to 364.44 and 786.44

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Solution

The third proportional to 364.44 and 786.44 is: 1,697.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.44 : 786.44 = 786.44 : x
  2. Step 2: Convert to fraction form
    364.44/786.44 = 786.44/x
  3. Step 3: Cross multiply
    364.44x = 786.44 × 786.44
  4. Step 4: Simplify right side
    364.44x = 618,483.94
  5. Step 5: Solve for x
    x = 618,483.94/364.44
  6. Step 6: Final answer
    x = 1,697.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.