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Finding the Third Proportional to 528,647.50 and 790,662.50

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Solution

The third proportional to 528,647.50 and 790,662.50 is: 1,182,540.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,647.50 : 790,662.50 = 790,662.50 : x
  2. Step 2: Convert to fraction form
    528,647.50/790,662.50 = 790,662.50/x
  3. Step 3: Cross multiply
    528,647.50x = 790,662.50 × 790,662.50
  4. Step 4: Simplify right side
    528,647.50x = 625,147,188,906.25
  5. Step 5: Solve for x
    x = 625,147,188,906.25/528,647.50
  6. Step 6: Final answer
    x = 1,182,540.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.