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Finding the Third Proportional to 219,843 and 479,052

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Solution

The third proportional to 219,843 and 479,052 is: 1,043,885.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,843 : 479,052 = 479,052 : x
  2. Step 2: Convert to fraction form
    219,843/479,052 = 479,052/x
  3. Step 3: Cross multiply
    219,843x = 479,052 × 479,052
  4. Step 4: Simplify right side
    219,843x = 229,490,818,704
  5. Step 5: Solve for x
    x = 229,490,818,704/219,843
  6. Step 6: Final answer
    x = 1,043,885.04

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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.