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Finding the Third Proportional to 391,450 and 751,796

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Solution

The third proportional to 391,450 and 751,796 is: 1,443,855.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,450 : 751,796 = 751,796 : x
  2. Step 2: Convert to fraction form
    391,450/751,796 = 751,796/x
  3. Step 3: Cross multiply
    391,450x = 751,796 × 751,796
  4. Step 4: Simplify right side
    391,450x = 565,197,225,616
  5. Step 5: Solve for x
    x = 565,197,225,616/391,450
  6. Step 6: Final answer
    x = 1,443,855.47

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.