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Finding the Third Proportional to 207,869 and 447,761

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Solution

The third proportional to 207,869 and 447,761 is: 964,501.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,869 : 447,761 = 447,761 : x
  2. Step 2: Convert to fraction form
    207,869/447,761 = 447,761/x
  3. Step 3: Cross multiply
    207,869x = 447,761 × 447,761
  4. Step 4: Simplify right side
    207,869x = 200,489,913,121
  5. Step 5: Solve for x
    x = 200,489,913,121/207,869
  6. Step 6: Final answer
    x = 964,501.26

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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.