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Finding the Third Proportional to 305,736.50 and 440,374.75

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Solution

The third proportional to 305,736.50 and 440,374.75 is: 634,304.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,736.50 : 440,374.75 = 440,374.75 : x
  2. Step 2: Convert to fraction form
    305,736.50/440,374.75 = 440,374.75/x
  3. Step 3: Cross multiply
    305,736.50x = 440,374.75 × 440,374.75
  4. Step 4: Simplify right side
    305,736.50x = 193,929,920,437.56
  5. Step 5: Solve for x
    x = 193,929,920,437.56/305,736.50
  6. Step 6: Final answer
    x = 634,304.12

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.