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Finding the Third Proportional to 308,842 and 666,892

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Solution

The third proportional to 308,842 and 666,892 is: 1,440,040.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,842 : 666,892 = 666,892 : x
  2. Step 2: Convert to fraction form
    308,842/666,892 = 666,892/x
  3. Step 3: Cross multiply
    308,842x = 666,892 × 666,892
  4. Step 4: Simplify right side
    308,842x = 444,744,939,664
  5. Step 5: Solve for x
    x = 444,744,939,664/308,842
  6. Step 6: Final answer
    x = 1,440,040.34

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.