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Finding the Third Proportional to 362,882 and 769,024

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Solution

The third proportional to 362,882 and 769,024 is: 1,629,725.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,882 : 769,024 = 769,024 : x
  2. Step 2: Convert to fraction form
    362,882/769,024 = 769,024/x
  3. Step 3: Cross multiply
    362,882x = 769,024 × 769,024
  4. Step 4: Simplify right side
    362,882x = 591,397,912,576
  5. Step 5: Solve for x
    x = 591,397,912,576/362,882
  6. Step 6: Final answer
    x = 1,629,725.12

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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.