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Finding the Third Proportional to 398,232.50 and 597,234.50

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Solution

The third proportional to 398,232.50 and 597,234.50 is: 895,680.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,232.50 : 597,234.50 = 597,234.50 : x
  2. Step 2: Convert to fraction form
    398,232.50/597,234.50 = 597,234.50/x
  3. Step 3: Cross multiply
    398,232.50x = 597,234.50 × 597,234.50
  4. Step 4: Simplify right side
    398,232.50x = 356,689,047,990.25
  5. Step 5: Solve for x
    x = 356,689,047,990.25/398,232.50
  6. Step 6: Final answer
    x = 895,680.41

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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.