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Finding the Third Proportional to 728,265.94 and 1,092,409.03

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Solution

The third proportional to 728,265.94 and 1,092,409.03 is: 1,638,628.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,265.94 : 1,092,409.03 = 1,092,409.03 : x
  2. Step 2: Convert to fraction form
    728,265.94/1,092,409.03 = 1,092,409.03/x
  3. Step 3: Cross multiply
    728,265.94x = 1,092,409.03 × 1,092,409.03
  4. Step 4: Simplify right side
    728,265.94x = 1,193,357,491,556.56
  5. Step 5: Solve for x
    x = 1,193,357,491,556.56/728,265.94
  6. Step 6: Final answer
    x = 1,638,628.73

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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.