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Finding the Third Proportional to 361,723.50 and 773,268

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Solution

The third proportional to 361,723.50 and 773,268 is: 1,653,039.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,723.50 : 773,268 = 773,268 : x
  2. Step 2: Convert to fraction form
    361,723.50/773,268 = 773,268/x
  3. Step 3: Cross multiply
    361,723.50x = 773,268 × 773,268
  4. Step 4: Simplify right side
    361,723.50x = 597,943,399,824
  5. Step 5: Solve for x
    x = 597,943,399,824/361,723.50
  6. Step 6: Final answer
    x = 1,653,039.96

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.