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Finding the Third Proportional to 322,362.28 and 706,704.75

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Solution

The third proportional to 322,362.28 and 706,704.75 is: 1,549,286.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,362.28 : 706,704.75 = 706,704.75 : x
  2. Step 2: Convert to fraction form
    322,362.28/706,704.75 = 706,704.75/x
  3. Step 3: Cross multiply
    322,362.28x = 706,704.75 × 706,704.75
  4. Step 4: Simplify right side
    322,362.28x = 499,431,603,672.56
  5. Step 5: Solve for x
    x = 499,431,603,672.56/322,362.28
  6. Step 6: Final answer
    x = 1,549,286.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.