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Finding the Third Proportional to 395,695 and 613,621.50

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Solution

The third proportional to 395,695 and 613,621.50 is: 951,569.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,695 : 613,621.50 = 613,621.50 : x
  2. Step 2: Convert to fraction form
    395,695/613,621.50 = 613,621.50/x
  3. Step 3: Cross multiply
    395,695x = 613,621.50 × 613,621.50
  4. Step 4: Simplify right side
    395,695x = 376,531,345,262.25
  5. Step 5: Solve for x
    x = 376,531,345,262.25/395,695
  6. Step 6: Final answer
    x = 951,569.63

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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.