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Finding the Third Proportional to 797.63 and 1,196.63

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Solution

The third proportional to 797.63 and 1,196.63 is: 1,795.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.63 : 1,196.63 = 1,196.63 : x
  2. Step 2: Convert to fraction form
    797.63/1,196.63 = 1,196.63/x
  3. Step 3: Cross multiply
    797.63x = 1,196.63 × 1,196.63
  4. Step 4: Simplify right side
    797.63x = 1,431,911.39
  5. Step 5: Solve for x
    x = 1,431,911.39/797.63
  6. Step 6: Final answer
    x = 1,795.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.