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Finding the Third Proportional to 381,448 and 837,584

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Solution

The third proportional to 381,448 and 837,584 is: 1,839,168.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,448 : 837,584 = 837,584 : x
  2. Step 2: Convert to fraction form
    381,448/837,584 = 837,584/x
  3. Step 3: Cross multiply
    381,448x = 837,584 × 837,584
  4. Step 4: Simplify right side
    381,448x = 701,546,957,056
  5. Step 5: Solve for x
    x = 701,546,957,056/381,448
  6. Step 6: Final answer
    x = 1,839,168.00

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.