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Finding the Third Proportional to 822.02 and 1,194.12

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Solution

The third proportional to 822.02 and 1,194.12 is: 1,734.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.02 : 1,194.12 = 1,194.12 : x
  2. Step 2: Convert to fraction form
    822.02/1,194.12 = 1,194.12/x
  3. Step 3: Cross multiply
    822.02x = 1,194.12 × 1,194.12
  4. Step 4: Simplify right side
    822.02x = 1,425,915.86
  5. Step 5: Solve for x
    x = 1,425,915.86/822.02
  6. Step 6: Final answer
    x = 1,734.64

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.