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Finding the Third Proportional to 822.50 and 1,195

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Solution

The third proportional to 822.50 and 1,195 is: 1,736.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.50 : 1,195 = 1,195 : x
  2. Step 2: Convert to fraction form
    822.50/1,195 = 1,195/x
  3. Step 3: Cross multiply
    822.50x = 1,195 × 1,195
  4. Step 4: Simplify right side
    822.50x = 1,428,025
  5. Step 5: Solve for x
    x = 1,428,025/822.50
  6. Step 6: Final answer
    x = 1,736.20

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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.