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Finding the Third Proportional to 362,880 and 769,020

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Solution

The third proportional to 362,880 and 769,020 is: 1,629,717.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,880 : 769,020 = 769,020 : x
  2. Step 2: Convert to fraction form
    362,880/769,020 = 769,020/x
  3. Step 3: Cross multiply
    362,880x = 769,020 × 769,020
  4. Step 4: Simplify right side
    362,880x = 591,391,760,400
  5. Step 5: Solve for x
    x = 591,391,760,400/362,880
  6. Step 6: Final answer
    x = 1,629,717.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.