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Finding the Third Proportional to 207,726 and 447,041

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Solution

The third proportional to 207,726 and 447,041 is: 962,063.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,726 : 447,041 = 447,041 : x
  2. Step 2: Convert to fraction form
    207,726/447,041 = 447,041/x
  3. Step 3: Cross multiply
    207,726x = 447,041 × 447,041
  4. Step 4: Simplify right side
    207,726x = 199,845,655,681
  5. Step 5: Solve for x
    x = 199,845,655,681/207,726
  6. Step 6: Final answer
    x = 962,063.76

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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.