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Finding the Third Proportional to 354,066 and 541,422

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Solution

The third proportional to 354,066 and 541,422 is: 827,918.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,066 : 541,422 = 541,422 : x
  2. Step 2: Convert to fraction form
    354,066/541,422 = 541,422/x
  3. Step 3: Cross multiply
    354,066x = 541,422 × 541,422
  4. Step 4: Simplify right side
    354,066x = 293,137,782,084
  5. Step 5: Solve for x
    x = 293,137,782,084/354,066
  6. Step 6: Final answer
    x = 827,918.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.