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Finding the Third Proportional to 397,668 and 841,398

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Solution

The third proportional to 397,668 and 841,398 is: 1,780,255.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,668 : 841,398 = 841,398 : x
  2. Step 2: Convert to fraction form
    397,668/841,398 = 841,398/x
  3. Step 3: Cross multiply
    397,668x = 841,398 × 841,398
  4. Step 4: Simplify right side
    397,668x = 707,950,594,404
  5. Step 5: Solve for x
    x = 707,950,594,404/397,668
  6. Step 6: Final answer
    x = 1,780,255.37

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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.