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Finding the Third Proportional to 749,729.25 and 1,632,568.50

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Solution

The third proportional to 749,729.25 and 1,632,568.50 is: 3,554,989.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,729.25 : 1,632,568.50 = 1,632,568.50 : x
  2. Step 2: Convert to fraction form
    749,729.25/1,632,568.50 = 1,632,568.50/x
  3. Step 3: Cross multiply
    749,729.25x = 1,632,568.50 × 1,632,568.50
  4. Step 4: Simplify right side
    749,729.25x = 2,665,279,907,192.25
  5. Step 5: Solve for x
    x = 2,665,279,907,192.25/749,729.25
  6. Step 6: Final answer
    x = 3,554,989.89

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.