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Finding the Third Proportional to 325,690 and 717,644

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Solution

The third proportional to 325,690 and 717,644 is: 1,581,297.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,690 : 717,644 = 717,644 : x
  2. Step 2: Convert to fraction form
    325,690/717,644 = 717,644/x
  3. Step 3: Cross multiply
    325,690x = 717,644 × 717,644
  4. Step 4: Simplify right side
    325,690x = 515,012,910,736
  5. Step 5: Solve for x
    x = 515,012,910,736/325,690
  6. Step 6: Final answer
    x = 1,581,297.89

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.