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Finding the Third Proportional to 338,997 and 460,401

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Solution

The third proportional to 338,997 and 460,401 is: 625,283.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,997 : 460,401 = 460,401 : x
  2. Step 2: Convert to fraction form
    338,997/460,401 = 460,401/x
  3. Step 3: Cross multiply
    338,997x = 460,401 × 460,401
  4. Step 4: Simplify right side
    338,997x = 211,969,080,801
  5. Step 5: Solve for x
    x = 211,969,080,801/338,997
  6. Step 6: Final answer
    x = 625,283.06

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.