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Finding the Third Proportional to 274,969.69 and 410,892.75

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Solution

The third proportional to 274,969.69 and 410,892.75 is: 614,005.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,969.69 : 410,892.75 = 410,892.75 : x
  2. Step 2: Convert to fraction form
    274,969.69/410,892.75 = 410,892.75/x
  3. Step 3: Cross multiply
    274,969.69x = 410,892.75 × 410,892.75
  4. Step 4: Simplify right side
    274,969.69x = 168,832,852,002.56
  5. Step 5: Solve for x
    x = 168,832,852,002.56/274,969.69
  6. Step 6: Final answer
    x = 614,005.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.