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Finding the Third Proportional to 395,161.88 and 613,013.06

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Solution

The third proportional to 395,161.88 and 613,013.06 is: 950,964.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,161.88 : 613,013.06 = 613,013.06 : x
  2. Step 2: Convert to fraction form
    395,161.88/613,013.06 = 613,013.06/x
  3. Step 3: Cross multiply
    395,161.88x = 613,013.06 × 613,013.06
  4. Step 4: Simplify right side
    395,161.88x = 375,785,014,795.63
  5. Step 5: Solve for x
    x = 375,785,014,795.63/395,161.88
  6. Step 6: Final answer
    x = 950,964.75

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