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Finding the Third Proportional to 276,976.50 and 612,081

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Solution

The third proportional to 276,976.50 and 612,081 is: 1,352,617.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,976.50 : 612,081 = 612,081 : x
  2. Step 2: Convert to fraction form
    276,976.50/612,081 = 612,081/x
  3. Step 3: Cross multiply
    276,976.50x = 612,081 × 612,081
  4. Step 4: Simplify right side
    276,976.50x = 374,643,150,561
  5. Step 5: Solve for x
    x = 374,643,150,561/276,976.50
  6. Step 6: Final answer
    x = 1,352,617.10

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.