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Finding the Third Proportional to 394,348.50 and 855,127.13

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Solution

The third proportional to 394,348.50 and 855,127.13 is: 1,854,305.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,348.50 : 855,127.13 = 855,127.13 : x
  2. Step 2: Convert to fraction form
    394,348.50/855,127.13 = 855,127.13/x
  3. Step 3: Cross multiply
    394,348.50x = 855,127.13 × 855,127.13
  4. Step 4: Simplify right side
    394,348.50x = 731,242,399,910.77
  5. Step 5: Solve for x
    x = 731,242,399,910.77/394,348.50
  6. Step 6: Final answer
    x = 1,854,305.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.