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Finding the Third Proportional to 376,569 and 791,937

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Solution

The third proportional to 376,569 and 791,937 is: 1,665,469.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,569 : 791,937 = 791,937 : x
  2. Step 2: Convert to fraction form
    376,569/791,937 = 791,937/x
  3. Step 3: Cross multiply
    376,569x = 791,937 × 791,937
  4. Step 4: Simplify right side
    376,569x = 627,164,211,969
  5. Step 5: Solve for x
    x = 627,164,211,969/376,569
  6. Step 6: Final answer
    x = 1,665,469.57

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.