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Finding the Third Proportional to 681,115.50 and 1,021,673.25

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Solution

The third proportional to 681,115.50 and 1,021,673.25 is: 1,532,509.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,115.50 : 1,021,673.25 = 1,021,673.25 : x
  2. Step 2: Convert to fraction form
    681,115.50/1,021,673.25 = 1,021,673.25/x
  3. Step 3: Cross multiply
    681,115.50x = 1,021,673.25 × 1,021,673.25
  4. Step 4: Simplify right side
    681,115.50x = 1,043,816,229,765.56
  5. Step 5: Solve for x
    x = 1,043,816,229,765.56/681,115.50
  6. Step 6: Final answer
    x = 1,532,509.88

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Why These Related Problems?

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