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Finding the Third Proportional to 349,124 and 751,704

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Solution

The third proportional to 349,124 and 751,704 is: 1,618,504.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,124 : 751,704 = 751,704 : x
  2. Step 2: Convert to fraction form
    349,124/751,704 = 751,704/x
  3. Step 3: Cross multiply
    349,124x = 751,704 × 751,704
  4. Step 4: Simplify right side
    349,124x = 565,058,903,616
  5. Step 5: Solve for x
    x = 565,058,903,616/349,124
  6. Step 6: Final answer
    x = 1,618,504.90

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Why These Related Problems?

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