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Finding the Third Proportional to 212,904 and 333,828

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Solution

The third proportional to 212,904 and 333,828 is: 523,433.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,904 : 333,828 = 333,828 : x
  2. Step 2: Convert to fraction form
    212,904/333,828 = 333,828/x
  3. Step 3: Cross multiply
    212,904x = 333,828 × 333,828
  4. Step 4: Simplify right side
    212,904x = 111,441,133,584
  5. Step 5: Solve for x
    x = 111,441,133,584/212,904
  6. Step 6: Final answer
    x = 523,433.72

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.