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Finding the Third Proportional to 191,804 and 421,678

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Solution

The third proportional to 191,804 and 421,678 is: 927,052.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,804 : 421,678 = 421,678 : x
  2. Step 2: Convert to fraction form
    191,804/421,678 = 421,678/x
  3. Step 3: Cross multiply
    191,804x = 421,678 × 421,678
  4. Step 4: Simplify right side
    191,804x = 177,812,335,684
  5. Step 5: Solve for x
    x = 177,812,335,684/191,804
  6. Step 6: Final answer
    x = 927,052.28

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.