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Finding the Third Proportional to 213,790.50 and 451,611

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Solution

The third proportional to 213,790.50 and 451,611 is: 953,982.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,790.50 : 451,611 = 451,611 : x
  2. Step 2: Convert to fraction form
    213,790.50/451,611 = 451,611/x
  3. Step 3: Cross multiply
    213,790.50x = 451,611 × 451,611
  4. Step 4: Simplify right side
    213,790.50x = 203,952,495,321
  5. Step 5: Solve for x
    x = 203,952,495,321/213,790.50
  6. Step 6: Final answer
    x = 953,982.97

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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.