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Finding the Third Proportional to 207,364 and 446,606

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Solution

The third proportional to 207,364 and 446,606 is: 961,868.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,364 : 446,606 = 446,606 : x
  2. Step 2: Convert to fraction form
    207,364/446,606 = 446,606/x
  3. Step 3: Cross multiply
    207,364x = 446,606 × 446,606
  4. Step 4: Simplify right side
    207,364x = 199,456,919,236
  5. Step 5: Solve for x
    x = 199,456,919,236/207,364
  6. Step 6: Final answer
    x = 961,868.59

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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.