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Finding the Third Proportional to 229,439.25 and 492,093.56

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Solution

The third proportional to 229,439.25 and 492,093.56 is: 1,055,425.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,439.25 : 492,093.56 = 492,093.56 : x
  2. Step 2: Convert to fraction form
    229,439.25/492,093.56 = 492,093.56/x
  3. Step 3: Cross multiply
    229,439.25x = 492,093.56 × 492,093.56
  4. Step 4: Simplify right side
    229,439.25x = 242,156,074,253.94
  5. Step 5: Solve for x
    x = 242,156,074,253.94/229,439.25
  6. Step 6: Final answer
    x = 1,055,425.67

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.