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Finding the Third Proportional to 395,781.75 and 613,220.63

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Solution

The third proportional to 395,781.75 and 613,220.63 is: 950,118.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,781.75 : 613,220.63 = 613,220.63 : x
  2. Step 2: Convert to fraction form
    395,781.75/613,220.63 = 613,220.63/x
  3. Step 3: Cross multiply
    395,781.75x = 613,220.63 × 613,220.63
  4. Step 4: Simplify right side
    395,781.75x = 376,039,534,925.39
  5. Step 5: Solve for x
    x = 376,039,534,925.39/395,781.75
  6. Step 6: Final answer
    x = 950,118.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.