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Finding the Third Proportional to 327,629 and 493,752

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Solution

The third proportional to 327,629 and 493,752 is: 744,107.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,629 : 493,752 = 493,752 : x
  2. Step 2: Convert to fraction form
    327,629/493,752 = 493,752/x
  3. Step 3: Cross multiply
    327,629x = 493,752 × 493,752
  4. Step 4: Simplify right side
    327,629x = 243,791,037,504
  5. Step 5: Solve for x
    x = 243,791,037,504/327,629
  6. Step 6: Final answer
    x = 744,107.02

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Why These Related Problems?

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