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Finding the Third Proportional to 687,059.72 and 903,481.59

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Solution

The third proportional to 687,059.72 and 903,481.59 is: 1,188,075.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,059.72 : 903,481.59 = 903,481.59 : x
  2. Step 2: Convert to fraction form
    687,059.72/903,481.59 = 903,481.59/x
  3. Step 3: Cross multiply
    687,059.72x = 903,481.59 × 903,481.59
  4. Step 4: Simplify right side
    687,059.72x = 816,278,990,245.04
  5. Step 5: Solve for x
    x = 816,278,990,245.04/687,059.72
  6. Step 6: Final answer
    x = 1,188,075.75

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.