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Finding the Third Proportional to 376,706 and 815,620

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Solution

The third proportional to 376,706 and 815,620 is: 1,765,928.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,706 : 815,620 = 815,620 : x
  2. Step 2: Convert to fraction form
    376,706/815,620 = 815,620/x
  3. Step 3: Cross multiply
    376,706x = 815,620 × 815,620
  4. Step 4: Simplify right side
    376,706x = 665,235,984,400
  5. Step 5: Solve for x
    x = 665,235,984,400/376,706
  6. Step 6: Final answer
    x = 1,765,928.83

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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.