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Finding the Third Proportional to 276,797.25 and 601,571.25

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Solution

The third proportional to 276,797.25 and 601,571.25 is: 1,307,411.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,797.25 : 601,571.25 = 601,571.25 : x
  2. Step 2: Convert to fraction form
    276,797.25/601,571.25 = 601,571.25/x
  3. Step 3: Cross multiply
    276,797.25x = 601,571.25 × 601,571.25
  4. Step 4: Simplify right side
    276,797.25x = 361,887,968,826.56
  5. Step 5: Solve for x
    x = 361,887,968,826.56/276,797.25
  6. Step 6: Final answer
    x = 1,307,411.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.