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Finding the Third Proportional to 380,508 and 819,882.75

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Solution

The third proportional to 380,508 and 819,882.75 is: 1,766,606.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,508 : 819,882.75 = 819,882.75 : x
  2. Step 2: Convert to fraction form
    380,508/819,882.75 = 819,882.75/x
  3. Step 3: Cross multiply
    380,508x = 819,882.75 × 819,882.75
  4. Step 4: Simplify right side
    380,508x = 672,207,723,747.56
  5. Step 5: Solve for x
    x = 672,207,723,747.56/380,508
  6. Step 6: Final answer
    x = 1,766,606.02

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.