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Finding the Third Proportional to 279,591.75 and 598,367.25

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Solution

The third proportional to 279,591.75 and 598,367.25 is: 1,280,593.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,591.75 : 598,367.25 = 598,367.25 : x
  2. Step 2: Convert to fraction form
    279,591.75/598,367.25 = 598,367.25/x
  3. Step 3: Cross multiply
    279,591.75x = 598,367.25 × 598,367.25
  4. Step 4: Simplify right side
    279,591.75x = 358,043,365,872.56
  5. Step 5: Solve for x
    x = 358,043,365,872.56/279,591.75
  6. Step 6: Final answer
    x = 1,280,593.46

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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.