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Finding the Third Proportional to 352,003.50 and 773,973

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Solution

The third proportional to 352,003.50 and 773,973 is: 1,701,784.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,003.50 : 773,973 = 773,973 : x
  2. Step 2: Convert to fraction form
    352,003.50/773,973 = 773,973/x
  3. Step 3: Cross multiply
    352,003.50x = 773,973 × 773,973
  4. Step 4: Simplify right side
    352,003.50x = 599,034,204,729
  5. Step 5: Solve for x
    x = 599,034,204,729/352,003.50
  6. Step 6: Final answer
    x = 1,701,784.80

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.