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Finding the Third Proportional to 190,491.75 and 415,428.75

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Solution

The third proportional to 190,491.75 and 415,428.75 is: 905,976.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,491.75 : 415,428.75 = 415,428.75 : x
  2. Step 2: Convert to fraction form
    190,491.75/415,428.75 = 415,428.75/x
  3. Step 3: Cross multiply
    190,491.75x = 415,428.75 × 415,428.75
  4. Step 4: Simplify right side
    190,491.75x = 172,581,046,326.56
  5. Step 5: Solve for x
    x = 172,581,046,326.56/190,491.75
  6. Step 6: Final answer
    x = 905,976.49

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.