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Finding the Third Proportional to 382,120.50 and 809,757

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Solution

The third proportional to 382,120.50 and 809,757 is: 1,715,967.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,120.50 : 809,757 = 809,757 : x
  2. Step 2: Convert to fraction form
    382,120.50/809,757 = 809,757/x
  3. Step 3: Cross multiply
    382,120.50x = 809,757 × 809,757
  4. Step 4: Simplify right side
    382,120.50x = 655,706,399,049
  5. Step 5: Solve for x
    x = 655,706,399,049/382,120.50
  6. Step 6: Final answer
    x = 1,715,967.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.