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Finding the Third Proportional to 279,708.25 and 430,180.75

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Solution

The third proportional to 279,708.25 and 430,180.75 is: 661,601.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,708.25 : 430,180.75 = 430,180.75 : x
  2. Step 2: Convert to fraction form
    279,708.25/430,180.75 = 430,180.75/x
  3. Step 3: Cross multiply
    279,708.25x = 430,180.75 × 430,180.75
  4. Step 4: Simplify right side
    279,708.25x = 185,055,477,670.56
  5. Step 5: Solve for x
    x = 185,055,477,670.56/279,708.25
  6. Step 6: Final answer
    x = 661,601.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.