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Finding the Third Proportional to 381,444 and 837,576

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Solution

The third proportional to 381,444 and 837,576 is: 1,839,152.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,444 : 837,576 = 837,576 : x
  2. Step 2: Convert to fraction form
    381,444/837,576 = 837,576/x
  3. Step 3: Cross multiply
    381,444x = 837,576 × 837,576
  4. Step 4: Simplify right side
    381,444x = 701,533,555,776
  5. Step 5: Solve for x
    x = 701,533,555,776/381,444
  6. Step 6: Final answer
    x = 1,839,152.16

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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.