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Finding the Third Proportional to 275,431.50 and 591,039

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Solution

The third proportional to 275,431.50 and 591,039 is: 1,268,290.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,431.50 : 591,039 = 591,039 : x
  2. Step 2: Convert to fraction form
    275,431.50/591,039 = 591,039/x
  3. Step 3: Cross multiply
    275,431.50x = 591,039 × 591,039
  4. Step 4: Simplify right side
    275,431.50x = 349,327,099,521
  5. Step 5: Solve for x
    x = 349,327,099,521/275,431.50
  6. Step 6: Final answer
    x = 1,268,290.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.