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Finding the Third Proportional to 344,829 and 751,734

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Solution

The third proportional to 344,829 and 751,734 is: 1,638,794.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,829 : 751,734 = 751,734 : x
  2. Step 2: Convert to fraction form
    344,829/751,734 = 751,734/x
  3. Step 3: Cross multiply
    344,829x = 751,734 × 751,734
  4. Step 4: Simplify right side
    344,829x = 565,104,006,756
  5. Step 5: Solve for x
    x = 565,104,006,756/344,829
  6. Step 6: Final answer
    x = 1,638,794.90

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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.