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Finding the Third Proportional to 219,591 and 479,340

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Solution

The third proportional to 219,591 and 479,340 is: 1,046,339.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,591 : 479,340 = 479,340 : x
  2. Step 2: Convert to fraction form
    219,591/479,340 = 479,340/x
  3. Step 3: Cross multiply
    219,591x = 479,340 × 479,340
  4. Step 4: Simplify right side
    219,591x = 229,766,835,600
  5. Step 5: Solve for x
    x = 229,766,835,600/219,591
  6. Step 6: Final answer
    x = 1,046,339.95

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