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Finding the Third Proportional to 207,706.50 and 451,863

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Solution

The third proportional to 207,706.50 and 451,863 is: 983,022.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,706.50 : 451,863 = 451,863 : x
  2. Step 2: Convert to fraction form
    207,706.50/451,863 = 451,863/x
  3. Step 3: Cross multiply
    207,706.50x = 451,863 × 451,863
  4. Step 4: Simplify right side
    207,706.50x = 204,180,170,769
  5. Step 5: Solve for x
    x = 204,180,170,769/207,706.50
  6. Step 6: Final answer
    x = 983,022.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.