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Finding the Third Proportional to 218,380.50 and 463,000.50

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Solution

The third proportional to 218,380.50 and 463,000.50 is: 981,632.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,380.50 : 463,000.50 = 463,000.50 : x
  2. Step 2: Convert to fraction form
    218,380.50/463,000.50 = 463,000.50/x
  3. Step 3: Cross multiply
    218,380.50x = 463,000.50 × 463,000.50
  4. Step 4: Simplify right side
    218,380.50x = 214,369,463,000.25
  5. Step 5: Solve for x
    x = 214,369,463,000.25/218,380.50
  6. Step 6: Final answer
    x = 981,632.81

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.