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Finding the Third Proportional to 328,236.75 and 679,234.50

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Solution

The third proportional to 328,236.75 and 679,234.50 is: 1,405,569.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,236.75 : 679,234.50 = 679,234.50 : x
  2. Step 2: Convert to fraction form
    328,236.75/679,234.50 = 679,234.50/x
  3. Step 3: Cross multiply
    328,236.75x = 679,234.50 × 679,234.50
  4. Step 4: Simplify right side
    328,236.75x = 461,359,505,990.25
  5. Step 5: Solve for x
    x = 461,359,505,990.25/328,236.75
  6. Step 6: Final answer
    x = 1,405,569.32

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.