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Finding the Third Proportional to 677,580.75 and 903,327.75

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Solution

The third proportional to 677,580.75 and 903,327.75 is: 1,204,286.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,580.75 : 903,327.75 = 903,327.75 : x
  2. Step 2: Convert to fraction form
    677,580.75/903,327.75 = 903,327.75/x
  3. Step 3: Cross multiply
    677,580.75x = 903,327.75 × 903,327.75
  4. Step 4: Simplify right side
    677,580.75x = 816,001,023,920.06
  5. Step 5: Solve for x
    x = 816,001,023,920.06/677,580.75
  6. Step 6: Final answer
    x = 1,204,286.02

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