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Finding the Third Proportional to 382,059 and 837,576

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Solution

The third proportional to 382,059 and 837,576 is: 1,836,191.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,059 : 837,576 = 837,576 : x
  2. Step 2: Convert to fraction form
    382,059/837,576 = 837,576/x
  3. Step 3: Cross multiply
    382,059x = 837,576 × 837,576
  4. Step 4: Simplify right side
    382,059x = 701,533,555,776
  5. Step 5: Solve for x
    x = 701,533,555,776/382,059
  6. Step 6: Final answer
    x = 1,836,191.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.