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Finding the Third Proportional to 253,284.75 and 401,069.25

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Solution

The third proportional to 253,284.75 and 401,069.25 is: 635,081.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,284.75 : 401,069.25 = 401,069.25 : x
  2. Step 2: Convert to fraction form
    253,284.75/401,069.25 = 401,069.25/x
  3. Step 3: Cross multiply
    253,284.75x = 401,069.25 × 401,069.25
  4. Step 4: Simplify right side
    253,284.75x = 160,856,543,295.56
  5. Step 5: Solve for x
    x = 160,856,543,295.56/253,284.75
  6. Step 6: Final answer
    x = 635,081.83

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.