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Finding the Third Proportional to 353,200.50 and 771,975

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Solution

The third proportional to 353,200.50 and 771,975 is: 1,687,272.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,200.50 : 771,975 = 771,975 : x
  2. Step 2: Convert to fraction form
    353,200.50/771,975 = 771,975/x
  3. Step 3: Cross multiply
    353,200.50x = 771,975 × 771,975
  4. Step 4: Simplify right side
    353,200.50x = 595,945,400,625
  5. Step 5: Solve for x
    x = 595,945,400,625/353,200.50
  6. Step 6: Final answer
    x = 1,687,272.25

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.