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Finding the Third Proportional to 225,863 and 446,056

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Solution

The third proportional to 225,863 and 446,056 is: 880,914.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,863 : 446,056 = 446,056 : x
  2. Step 2: Convert to fraction form
    225,863/446,056 = 446,056/x
  3. Step 3: Cross multiply
    225,863x = 446,056 × 446,056
  4. Step 4: Simplify right side
    225,863x = 198,965,955,136
  5. Step 5: Solve for x
    x = 198,965,955,136/225,863
  6. Step 6: Final answer
    x = 880,914.34

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.