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Finding the Third Proportional to 219,845 and 479,056

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Solution

The third proportional to 219,845 and 479,056 is: 1,043,892.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,845 : 479,056 = 479,056 : x
  2. Step 2: Convert to fraction form
    219,845/479,056 = 479,056/x
  3. Step 3: Cross multiply
    219,845x = 479,056 × 479,056
  4. Step 4: Simplify right side
    219,845x = 229,494,651,136
  5. Step 5: Solve for x
    x = 229,494,651,136/219,845
  6. Step 6: Final answer
    x = 1,043,892.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.