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Finding the Third Proportional to 213,793.50 and 451,617

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Solution

The third proportional to 213,793.50 and 451,617 is: 953,994.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,793.50 : 451,617 = 451,617 : x
  2. Step 2: Convert to fraction form
    213,793.50/451,617 = 451,617/x
  3. Step 3: Cross multiply
    213,793.50x = 451,617 × 451,617
  4. Step 4: Simplify right side
    213,793.50x = 203,957,914,689
  5. Step 5: Solve for x
    x = 203,957,914,689/213,793.50
  6. Step 6: Final answer
    x = 953,994.93

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.