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Finding the Third Proportional to 276,574.50 and 601,728.75

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Solution

The third proportional to 276,574.50 and 601,728.75 is: 1,309,149.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,574.50 : 601,728.75 = 601,728.75 : x
  2. Step 2: Convert to fraction form
    276,574.50/601,728.75 = 601,728.75/x
  3. Step 3: Cross multiply
    276,574.50x = 601,728.75 × 601,728.75
  4. Step 4: Simplify right side
    276,574.50x = 362,077,488,576.56
  5. Step 5: Solve for x
    x = 362,077,488,576.56/276,574.50
  6. Step 6: Final answer
    x = 1,309,149.93

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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.