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Finding the Third Proportional to 327,385.50 and 723,600

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Solution

The third proportional to 327,385.50 and 723,600 is: 1,599,328.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,385.50 : 723,600 = 723,600 : x
  2. Step 2: Convert to fraction form
    327,385.50/723,600 = 723,600/x
  3. Step 3: Cross multiply
    327,385.50x = 723,600 × 723,600
  4. Step 4: Simplify right side
    327,385.50x = 523,596,960,000
  5. Step 5: Solve for x
    x = 523,596,960,000/327,385.50
  6. Step 6: Final answer
    x = 1,599,328.50

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.