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Finding the Third Proportional to 327,457.50 and 723,738

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Solution

The third proportional to 327,457.50 and 723,738 is: 1,599,586.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,457.50 : 723,738 = 723,738 : x
  2. Step 2: Convert to fraction form
    327,457.50/723,738 = 723,738/x
  3. Step 3: Cross multiply
    327,457.50x = 723,738 × 723,738
  4. Step 4: Simplify right side
    327,457.50x = 523,796,692,644
  5. Step 5: Solve for x
    x = 523,796,692,644/327,457.50
  6. Step 6: Final answer
    x = 1,599,586.79

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Why These Related Problems?

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