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Finding the Third Proportional to 398,867 and 598,593

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Solution

The third proportional to 398,867 and 598,593 is: 898,328.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,867 : 598,593 = 598,593 : x
  2. Step 2: Convert to fraction form
    398,867/598,593 = 598,593/x
  3. Step 3: Cross multiply
    398,867x = 598,593 × 598,593
  4. Step 4: Simplify right side
    398,867x = 358,313,579,649
  5. Step 5: Solve for x
    x = 358,313,579,649/398,867
  6. Step 6: Final answer
    x = 898,328.46

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