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Finding the Third Proportional to 680,991.75 and 954,390.38

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Solution

The third proportional to 680,991.75 and 954,390.38 is: 1,337,550.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,991.75 : 954,390.38 = 954,390.38 : x
  2. Step 2: Convert to fraction form
    680,991.75/954,390.38 = 954,390.38/x
  3. Step 3: Cross multiply
    680,991.75x = 954,390.38 × 954,390.38
  4. Step 4: Simplify right side
    680,991.75x = 910,860,987,892.64
  5. Step 5: Solve for x
    x = 910,860,987,892.64/680,991.75
  6. Step 6: Final answer
    x = 1,337,550.69

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.