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Finding the Third Proportional to 353,245.50 and 765,135

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Solution

The third proportional to 353,245.50 and 765,135 is: 1,657,293.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,245.50 : 765,135 = 765,135 : x
  2. Step 2: Convert to fraction form
    353,245.50/765,135 = 765,135/x
  3. Step 3: Cross multiply
    353,245.50x = 765,135 × 765,135
  4. Step 4: Simplify right side
    353,245.50x = 585,431,568,225
  5. Step 5: Solve for x
    x = 585,431,568,225/353,245.50
  6. Step 6: Final answer
    x = 1,657,293.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.