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Finding the Third Proportional to 279,836.75 and 443,776.75

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Solution

The third proportional to 279,836.75 and 443,776.75 is: 703,759.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,836.75 : 443,776.75 = 443,776.75 : x
  2. Step 2: Convert to fraction form
    279,836.75/443,776.75 = 443,776.75/x
  3. Step 3: Cross multiply
    279,836.75x = 443,776.75 × 443,776.75
  4. Step 4: Simplify right side
    279,836.75x = 196,937,803,840.56
  5. Step 5: Solve for x
    x = 196,937,803,840.56/279,836.75
  6. Step 6: Final answer
    x = 703,759.62

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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.