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Finding the Third Proportional to 388,573.13 and 836,195.25

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Solution

The third proportional to 388,573.13 and 836,195.25 is: 1,799,461.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,573.13 : 836,195.25 = 836,195.25 : x
  2. Step 2: Convert to fraction form
    388,573.13/836,195.25 = 836,195.25/x
  3. Step 3: Cross multiply
    388,573.13x = 836,195.25 × 836,195.25
  4. Step 4: Simplify right side
    388,573.13x = 699,222,496,122.56
  5. Step 5: Solve for x
    x = 699,222,496,122.56/388,573.13
  6. Step 6: Final answer
    x = 1,799,461.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.