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Finding the Third Proportional to 327,597 and 493,704

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Solution

The third proportional to 327,597 and 493,704 is: 744,035.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,597 : 493,704 = 493,704 : x
  2. Step 2: Convert to fraction form
    327,597/493,704 = 493,704/x
  3. Step 3: Cross multiply
    327,597x = 493,704 × 493,704
  4. Step 4: Simplify right side
    327,597x = 243,743,639,616
  5. Step 5: Solve for x
    x = 243,743,639,616/327,597
  6. Step 6: Final answer
    x = 744,035.02

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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.