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Finding the Third Proportional to 170,593 and 396,578.50

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Solution

The third proportional to 170,593 and 396,578.50 is: 921,928.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,593 : 396,578.50 = 396,578.50 : x
  2. Step 2: Convert to fraction form
    170,593/396,578.50 = 396,578.50/x
  3. Step 3: Cross multiply
    170,593x = 396,578.50 × 396,578.50
  4. Step 4: Simplify right side
    170,593x = 157,274,506,662.25
  5. Step 5: Solve for x
    x = 157,274,506,662.25/170,593
  6. Step 6: Final answer
    x = 921,928.25

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.