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Finding the Third Proportional to 213,828 and 459,246

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Solution

The third proportional to 213,828 and 459,246 is: 986,338.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,828 : 459,246 = 459,246 : x
  2. Step 2: Convert to fraction form
    213,828/459,246 = 459,246/x
  3. Step 3: Cross multiply
    213,828x = 459,246 × 459,246
  4. Step 4: Simplify right side
    213,828x = 210,906,888,516
  5. Step 5: Solve for x
    x = 210,906,888,516/213,828
  6. Step 6: Final answer
    x = 986,338.97

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.