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Finding the Third Proportional to 799.13 and 1,222.31

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Solution

The third proportional to 799.13 and 1,222.31 is: 1,869.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.13 : 1,222.31 = 1,222.31 : x
  2. Step 2: Convert to fraction form
    799.13/1,222.31 = 1,222.31/x
  3. Step 3: Cross multiply
    799.13x = 1,222.31 × 1,222.31
  4. Step 4: Simplify right side
    799.13x = 1,494,047.85
  5. Step 5: Solve for x
    x = 1,494,047.85/799.13
  6. Step 6: Final answer
    x = 1,869.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.