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Finding the Third Proportional to 866,861.25 and 1,150,232.25

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Solution

The third proportional to 866,861.25 and 1,150,232.25 is: 1,526,235.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,861.25 : 1,150,232.25 = 1,150,232.25 : x
  2. Step 2: Convert to fraction form
    866,861.25/1,150,232.25 = 1,150,232.25/x
  3. Step 3: Cross multiply
    866,861.25x = 1,150,232.25 × 1,150,232.25
  4. Step 4: Simplify right side
    866,861.25x = 1,323,034,228,940.06
  5. Step 5: Solve for x
    x = 1,323,034,228,940.06/866,861.25
  6. Step 6: Final answer
    x = 1,526,235.29

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.