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Finding the Third Proportional to 207,711 and 447,012

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Solution

The third proportional to 207,711 and 447,012 is: 962,008.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,711 : 447,012 = 447,012 : x
  2. Step 2: Convert to fraction form
    207,711/447,012 = 447,012/x
  3. Step 3: Cross multiply
    207,711x = 447,012 × 447,012
  4. Step 4: Simplify right side
    207,711x = 199,819,728,144
  5. Step 5: Solve for x
    x = 199,819,728,144/207,711
  6. Step 6: Final answer
    x = 962,008.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.