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Finding the Third Proportional to 276,375.75 and 414,482.63

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Solution

The third proportional to 276,375.75 and 414,482.63 is: 621,602.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,375.75 : 414,482.63 = 414,482.63 : x
  2. Step 2: Convert to fraction form
    276,375.75/414,482.63 = 414,482.63/x
  3. Step 3: Cross multiply
    276,375.75x = 414,482.63 × 414,482.63
  4. Step 4: Simplify right side
    276,375.75x = 171,795,846,426.89
  5. Step 5: Solve for x
    x = 171,795,846,426.89/276,375.75
  6. Step 6: Final answer
    x = 621,602.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.