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Finding the Third Proportional to 279,798.75 and 599,520.75

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Solution

The third proportional to 279,798.75 and 599,520.75 is: 1,284,584.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,798.75 : 599,520.75 = 599,520.75 : x
  2. Step 2: Convert to fraction form
    279,798.75/599,520.75 = 599,520.75/x
  3. Step 3: Cross multiply
    279,798.75x = 599,520.75 × 599,520.75
  4. Step 4: Simplify right side
    279,798.75x = 359,425,129,680.56
  5. Step 5: Solve for x
    x = 359,425,129,680.56/279,798.75
  6. Step 6: Final answer
    x = 1,284,584.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.