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Finding the Third Proportional to 376,816.50 and 819,081

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Solution

The third proportional to 376,816.50 and 819,081 is: 1,780,425.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,816.50 : 819,081 = 819,081 : x
  2. Step 2: Convert to fraction form
    376,816.50/819,081 = 819,081/x
  3. Step 3: Cross multiply
    376,816.50x = 819,081 × 819,081
  4. Step 4: Simplify right side
    376,816.50x = 670,893,684,561
  5. Step 5: Solve for x
    x = 670,893,684,561/376,816.50
  6. Step 6: Final answer
    x = 1,780,425.44

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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.