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Finding the Third Proportional to 321,657.75 and 687,489.75

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Solution

The third proportional to 321,657.75 and 687,489.75 is: 1,469,394.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,657.75 : 687,489.75 = 687,489.75 : x
  2. Step 2: Convert to fraction form
    321,657.75/687,489.75 = 687,489.75/x
  3. Step 3: Cross multiply
    321,657.75x = 687,489.75 × 687,489.75
  4. Step 4: Simplify right side
    321,657.75x = 472,642,156,355.06
  5. Step 5: Solve for x
    x = 472,642,156,355.06/321,657.75
  6. Step 6: Final answer
    x = 1,469,394.59

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.