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Finding the Third Proportional to 474,327.50 and 693,738.75

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Solution

The third proportional to 474,327.50 and 693,738.75 is: 1,014,643.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,327.50 : 693,738.75 = 693,738.75 : x
  2. Step 2: Convert to fraction form
    474,327.50/693,738.75 = 693,738.75/x
  3. Step 3: Cross multiply
    474,327.50x = 693,738.75 × 693,738.75
  4. Step 4: Simplify right side
    474,327.50x = 481,273,453,251.56
  5. Step 5: Solve for x
    x = 481,273,453,251.56/474,327.50
  6. Step 6: Final answer
    x = 1,014,643.79

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.