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Finding the Third Proportional to 327,792 and 494,685

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Solution

The third proportional to 327,792 and 494,685 is: 746,550.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,792 : 494,685 = 494,685 : x
  2. Step 2: Convert to fraction form
    327,792/494,685 = 494,685/x
  3. Step 3: Cross multiply
    327,792x = 494,685 × 494,685
  4. Step 4: Simplify right side
    327,792x = 244,713,249,225
  5. Step 5: Solve for x
    x = 244,713,249,225/327,792
  6. Step 6: Final answer
    x = 746,550.40

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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.