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Finding the Third Proportional to 278,751.38 and 443,049.75

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Solution

The third proportional to 278,751.38 and 443,049.75 is: 704,186.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,751.38 : 443,049.75 = 443,049.75 : x
  2. Step 2: Convert to fraction form
    278,751.38/443,049.75 = 443,049.75/x
  3. Step 3: Cross multiply
    278,751.38x = 443,049.75 × 443,049.75
  4. Step 4: Simplify right side
    278,751.38x = 196,293,080,975.06
  5. Step 5: Solve for x
    x = 196,293,080,975.06/278,751.38
  6. Step 6: Final answer
    x = 704,186.95

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.