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Finding the Third Proportional to 771.15 and 1,241.89

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Solution

The third proportional to 771.15 and 1,241.89 is: 1,999.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.15 : 1,241.89 = 1,241.89 : x
  2. Step 2: Convert to fraction form
    771.15/1,241.89 = 1,241.89/x
  3. Step 3: Cross multiply
    771.15x = 1,241.89 × 1,241.89
  4. Step 4: Simplify right side
    771.15x = 1,542,289.75
  5. Step 5: Solve for x
    x = 1,542,289.75/771.15
  6. Step 6: Final answer
    x = 1,999.98

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.