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Finding the Third Proportional to 398,231.44 and 597,233.25

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Solution

The third proportional to 398,231.44 and 597,233.25 is: 895,679.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,231.44 : 597,233.25 = 597,233.25 : x
  2. Step 2: Convert to fraction form
    398,231.44/597,233.25 = 597,233.25/x
  3. Step 3: Cross multiply
    398,231.44x = 597,233.25 × 597,233.25
  4. Step 4: Simplify right side
    398,231.44x = 356,687,554,905.56
  5. Step 5: Solve for x
    x = 356,687,554,905.56/398,231.44
  6. Step 6: Final answer
    x = 895,679.05

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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.