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Finding the Third Proportional to 276,796.75 and 451,980.25

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Solution

The third proportional to 276,796.75 and 451,980.25 is: 738,036.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,796.75 : 451,980.25 = 451,980.25 : x
  2. Step 2: Convert to fraction form
    276,796.75/451,980.25 = 451,980.25/x
  3. Step 3: Cross multiply
    276,796.75x = 451,980.25 × 451,980.25
  4. Step 4: Simplify right side
    276,796.75x = 204,286,146,390.06
  5. Step 5: Solve for x
    x = 204,286,146,390.06/276,796.75
  6. Step 6: Final answer
    x = 738,036.65

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.