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Finding the Third Proportional to 213,524 and 494,250

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Solution

The third proportional to 213,524 and 494,250 is: 1,144,054.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,524 : 494,250 = 494,250 : x
  2. Step 2: Convert to fraction form
    213,524/494,250 = 494,250/x
  3. Step 3: Cross multiply
    213,524x = 494,250 × 494,250
  4. Step 4: Simplify right side
    213,524x = 244,283,062,500
  5. Step 5: Solve for x
    x = 244,283,062,500/213,524
  6. Step 6: Final answer
    x = 1,144,054.36

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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.