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Finding the Third Proportional to 213,516 and 494,238

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Solution

The third proportional to 213,516 and 494,238 is: 1,144,041.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,516 : 494,238 = 494,238 : x
  2. Step 2: Convert to fraction form
    213,516/494,238 = 494,238/x
  3. Step 3: Cross multiply
    213,516x = 494,238 × 494,238
  4. Step 4: Simplify right side
    213,516x = 244,271,200,644
  5. Step 5: Solve for x
    x = 244,271,200,644/213,516
  6. Step 6: Final answer
    x = 1,144,041.67

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.