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Finding the Third Proportional to 207,781 and 447,617

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Solution

The third proportional to 207,781 and 447,617 is: 964,289.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,781 : 447,617 = 447,617 : x
  2. Step 2: Convert to fraction form
    207,781/447,617 = 447,617/x
  3. Step 3: Cross multiply
    207,781x = 447,617 × 447,617
  4. Step 4: Simplify right side
    207,781x = 200,360,978,689
  5. Step 5: Solve for x
    x = 200,360,978,689/207,781
  6. Step 6: Final answer
    x = 964,289.22

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