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Finding the Third Proportional to 279,375.75 and 621,984.25

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Solution

The third proportional to 279,375.75 and 621,984.25 is: 1,384,745.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,375.75 : 621,984.25 = 621,984.25 : x
  2. Step 2: Convert to fraction form
    279,375.75/621,984.25 = 621,984.25/x
  3. Step 3: Cross multiply
    279,375.75x = 621,984.25 × 621,984.25
  4. Step 4: Simplify right side
    279,375.75x = 386,864,407,248.06
  5. Step 5: Solve for x
    x = 386,864,407,248.06/279,375.75
  6. Step 6: Final answer
    x = 1,384,745.84

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.