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Finding the Third Proportional to 398,866 and 598,591.50

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Solution

The third proportional to 398,866 and 598,591.50 is: 898,326.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,866 : 598,591.50 = 598,591.50 : x
  2. Step 2: Convert to fraction form
    398,866/598,591.50 = 598,591.50/x
  3. Step 3: Cross multiply
    398,866x = 598,591.50 × 598,591.50
  4. Step 4: Simplify right side
    398,866x = 358,311,783,872.25
  5. Step 5: Solve for x
    x = 358,311,783,872.25/398,866
  6. Step 6: Final answer
    x = 898,326.21

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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.