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Finding the Third Proportional to 425,022.75 and 589,074.75

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Solution

The third proportional to 425,022.75 and 589,074.75 is: 816,448.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,022.75 : 589,074.75 = 589,074.75 : x
  2. Step 2: Convert to fraction form
    425,022.75/589,074.75 = 589,074.75/x
  3. Step 3: Cross multiply
    425,022.75x = 589,074.75 × 589,074.75
  4. Step 4: Simplify right side
    425,022.75x = 347,009,061,087.56
  5. Step 5: Solve for x
    x = 347,009,061,087.56/425,022.75
  6. Step 6: Final answer
    x = 816,448.20

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.