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Finding the Third Proportional to 550,315.50 and 733,821.75

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Solution

The third proportional to 550,315.50 and 733,821.75 is: 978,519.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,315.50 : 733,821.75 = 733,821.75 : x
  2. Step 2: Convert to fraction form
    550,315.50/733,821.75 = 733,821.75/x
  3. Step 3: Cross multiply
    550,315.50x = 733,821.75 × 733,821.75
  4. Step 4: Simplify right side
    550,315.50x = 538,494,360,773.06
  5. Step 5: Solve for x
    x = 538,494,360,773.06/550,315.50
  6. Step 6: Final answer
    x = 978,519.34

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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.