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Finding the Third Proportional to 314,619 and 444,759.75

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Solution

The third proportional to 314,619 and 444,759.75 is: 628,732.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,619 : 444,759.75 = 444,759.75 : x
  2. Step 2: Convert to fraction form
    314,619/444,759.75 = 444,759.75/x
  3. Step 3: Cross multiply
    314,619x = 444,759.75 × 444,759.75
  4. Step 4: Simplify right side
    314,619x = 197,811,235,220.06
  5. Step 5: Solve for x
    x = 197,811,235,220.06/314,619
  6. Step 6: Final answer
    x = 628,732.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.