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Finding the Third Proportional to 212,424.75 and 434,688.75

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Solution

The third proportional to 212,424.75 and 434,688.75 is: 889,511.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,424.75 : 434,688.75 = 434,688.75 : x
  2. Step 2: Convert to fraction form
    212,424.75/434,688.75 = 434,688.75/x
  3. Step 3: Cross multiply
    212,424.75x = 434,688.75 × 434,688.75
  4. Step 4: Simplify right side
    212,424.75x = 188,954,309,376.56
  5. Step 5: Solve for x
    x = 188,954,309,376.56/212,424.75
  6. Step 6: Final answer
    x = 889,511.74

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.