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Finding the Third Proportional to 822.94 and 1,206.84

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Solution

The third proportional to 822.94 and 1,206.84 is: 1,769.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.94 : 1,206.84 = 1,206.84 : x
  2. Step 2: Convert to fraction form
    822.94/1,206.84 = 1,206.84/x
  3. Step 3: Cross multiply
    822.94x = 1,206.84 × 1,206.84
  4. Step 4: Simplify right side
    822.94x = 1,456,471.84
  5. Step 5: Solve for x
    x = 1,456,471.84/822.94
  6. Step 6: Final answer
    x = 1,769.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.