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Finding the Third Proportional to 327,766 and 494,646

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Solution

The third proportional to 327,766 and 494,646 is: 746,491.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,766 : 494,646 = 494,646 : x
  2. Step 2: Convert to fraction form
    327,766/494,646 = 494,646/x
  3. Step 3: Cross multiply
    327,766x = 494,646 × 494,646
  4. Step 4: Simplify right side
    327,766x = 244,674,665,316
  5. Step 5: Solve for x
    x = 244,674,665,316/327,766
  6. Step 6: Final answer
    x = 746,491.90

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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.