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Finding the Third Proportional to 274,653 and 601,670.75

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Solution

The third proportional to 274,653 and 601,670.75 is: 1,318,054.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,653 : 601,670.75 = 601,670.75 : x
  2. Step 2: Convert to fraction form
    274,653/601,670.75 = 601,670.75/x
  3. Step 3: Cross multiply
    274,653x = 601,670.75 × 601,670.75
  4. Step 4: Simplify right side
    274,653x = 362,007,691,405.56
  5. Step 5: Solve for x
    x = 362,007,691,405.56/274,653
  6. Step 6: Final answer
    x = 1,318,054.75

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.