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Finding the Third Proportional to 207,974 and 447,471

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Solution

The third proportional to 207,974 and 447,471 is: 962,766.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,974 : 447,471 = 447,471 : x
  2. Step 2: Convert to fraction form
    207,974/447,471 = 447,471/x
  3. Step 3: Cross multiply
    207,974x = 447,471 × 447,471
  4. Step 4: Simplify right side
    207,974x = 200,230,295,841
  5. Step 5: Solve for x
    x = 200,230,295,841/207,974
  6. Step 6: Final answer
    x = 962,766.00

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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.