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Finding the Third Proportional to 276,260.63 and 601,713.56

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Solution

The third proportional to 276,260.63 and 601,713.56 is: 1,310,571.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,260.63 : 601,713.56 = 601,713.56 : x
  2. Step 2: Convert to fraction form
    276,260.63/601,713.56 = 601,713.56/x
  3. Step 3: Cross multiply
    276,260.63x = 601,713.56 × 601,713.56
  4. Step 4: Simplify right side
    276,260.63x = 362,059,211,296.44
  5. Step 5: Solve for x
    x = 362,059,211,296.44/276,260.63
  6. Step 6: Final answer
    x = 1,310,571.17

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.