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Finding the Third Proportional to 327,640 and 493,764

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Solution

The third proportional to 327,640 and 493,764 is: 744,118.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,640 : 493,764 = 493,764 : x
  2. Step 2: Convert to fraction form
    327,640/493,764 = 493,764/x
  3. Step 3: Cross multiply
    327,640x = 493,764 × 493,764
  4. Step 4: Simplify right side
    327,640x = 243,802,887,696
  5. Step 5: Solve for x
    x = 243,802,887,696/327,640
  6. Step 6: Final answer
    x = 744,118.20

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.