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Finding the Third Proportional to 381,336 and 728,040

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Solution

The third proportional to 381,336 and 728,040 is: 1,389,961.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,336 : 728,040 = 728,040 : x
  2. Step 2: Convert to fraction form
    381,336/728,040 = 728,040/x
  3. Step 3: Cross multiply
    381,336x = 728,040 × 728,040
  4. Step 4: Simplify right side
    381,336x = 530,042,241,600
  5. Step 5: Solve for x
    x = 530,042,241,600/381,336
  6. Step 6: Final answer
    x = 1,389,961.19

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.