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Finding the Third Proportional to 213,532 and 494,274

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Solution

The third proportional to 213,532 and 494,274 is: 1,144,122.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,532 : 494,274 = 494,274 : x
  2. Step 2: Convert to fraction form
    213,532/494,274 = 494,274/x
  3. Step 3: Cross multiply
    213,532x = 494,274 × 494,274
  4. Step 4: Simplify right side
    213,532x = 244,306,787,076
  5. Step 5: Solve for x
    x = 244,306,787,076/213,532
  6. Step 6: Final answer
    x = 1,144,122.60

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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.