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Finding the Third Proportional to 220,336 and 459,828

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Solution

The third proportional to 220,336 and 459,828 is: 959,633.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,336 : 459,828 = 459,828 : x
  2. Step 2: Convert to fraction form
    220,336/459,828 = 459,828/x
  3. Step 3: Cross multiply
    220,336x = 459,828 × 459,828
  4. Step 4: Simplify right side
    220,336x = 211,441,789,584
  5. Step 5: Solve for x
    x = 211,441,789,584/220,336
  6. Step 6: Final answer
    x = 959,633.42

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.