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Finding the Third Proportional to 353,396.25 and 736,620.75

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Solution

The third proportional to 353,396.25 and 736,620.75 is: 1,535,415.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,396.25 : 736,620.75 = 736,620.75 : x
  2. Step 2: Convert to fraction form
    353,396.25/736,620.75 = 736,620.75/x
  3. Step 3: Cross multiply
    353,396.25x = 736,620.75 × 736,620.75
  4. Step 4: Simplify right side
    353,396.25x = 542,610,129,330.56
  5. Step 5: Solve for x
    x = 542,610,129,330.56/353,396.25
  6. Step 6: Final answer
    x = 1,535,415.64

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.