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Finding the Third Proportional to 321,853.50 and 706,722.75

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Solution

The third proportional to 321,853.50 and 706,722.75 is: 1,551,814.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,853.50 : 706,722.75 = 706,722.75 : x
  2. Step 2: Convert to fraction form
    321,853.50/706,722.75 = 706,722.75/x
  3. Step 3: Cross multiply
    321,853.50x = 706,722.75 × 706,722.75
  4. Step 4: Simplify right side
    321,853.50x = 499,457,045,367.56
  5. Step 5: Solve for x
    x = 499,457,045,367.56/321,853.50
  6. Step 6: Final answer
    x = 1,551,814.86

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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.