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Finding the Third Proportional to 361,984 and 476,016

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Solution

The third proportional to 361,984 and 476,016 is: 625,970.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,984 : 476,016 = 476,016 : x
  2. Step 2: Convert to fraction form
    361,984/476,016 = 476,016/x
  3. Step 3: Cross multiply
    361,984x = 476,016 × 476,016
  4. Step 4: Simplify right side
    361,984x = 226,591,232,256
  5. Step 5: Solve for x
    x = 226,591,232,256/361,984
  6. Step 6: Final answer
    x = 625,970.30

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.