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Finding the Third Proportional to 382,674.38 and 837,853.88

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Solution

The third proportional to 382,674.38 and 837,853.88 is: 1,834,455.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,674.38 : 837,853.88 = 837,853.88 : x
  2. Step 2: Convert to fraction form
    382,674.38/837,853.88 = 837,853.88/x
  3. Step 3: Cross multiply
    382,674.38x = 837,853.88 × 837,853.88
  4. Step 4: Simplify right side
    382,674.38x = 701,999,115,852.52
  5. Step 5: Solve for x
    x = 701,999,115,852.52/382,674.38
  6. Step 6: Final answer
    x = 1,834,455.51

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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.