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Finding the Third Proportional to 327,658 and 494,498

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Solution

The third proportional to 327,658 and 494,498 is: 746,291.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,658 : 494,498 = 494,498 : x
  2. Step 2: Convert to fraction form
    327,658/494,498 = 494,498/x
  3. Step 3: Cross multiply
    327,658x = 494,498 × 494,498
  4. Step 4: Simplify right side
    327,658x = 244,528,272,004
  5. Step 5: Solve for x
    x = 244,528,272,004/327,658
  6. Step 6: Final answer
    x = 746,291.17

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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.