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Finding the Third Proportional to 370,992 and 807,756

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Solution

The third proportional to 370,992 and 807,756 is: 1,758,716.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,992 : 807,756 = 807,756 : x
  2. Step 2: Convert to fraction form
    370,992/807,756 = 807,756/x
  3. Step 3: Cross multiply
    370,992x = 807,756 × 807,756
  4. Step 4: Simplify right side
    370,992x = 652,469,755,536
  5. Step 5: Solve for x
    x = 652,469,755,536/370,992
  6. Step 6: Final answer
    x = 1,758,716.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.