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Finding the Third Proportional to 207,816 and 451,056

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Solution

The third proportional to 207,816 and 451,056 is: 978,998.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,816 : 451,056 = 451,056 : x
  2. Step 2: Convert to fraction form
    207,816/451,056 = 451,056/x
  3. Step 3: Cross multiply
    207,816x = 451,056 × 451,056
  4. Step 4: Simplify right side
    207,816x = 203,451,515,136
  5. Step 5: Solve for x
    x = 203,451,515,136/207,816
  6. Step 6: Final answer
    x = 978,998.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.