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Finding the Third Proportional to 265,868.58 and 398,998.41

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Solution

The third proportional to 265,868.58 and 398,998.41 is: 598,791.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,868.58 : 398,998.41 = 398,998.41 : x
  2. Step 2: Convert to fraction form
    265,868.58/398,998.41 = 398,998.41/x
  3. Step 3: Cross multiply
    265,868.58x = 398,998.41 × 398,998.41
  4. Step 4: Simplify right side
    265,868.58x = 159,199,728,190.04
  5. Step 5: Solve for x
    x = 159,199,728,190.04/265,868.58
  6. Step 6: Final answer
    x = 598,791.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.