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Finding the Third Proportional to 380,016 and 534,412

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Solution

The third proportional to 380,016 and 534,412 is: 751,537.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,016 : 534,412 = 534,412 : x
  2. Step 2: Convert to fraction form
    380,016/534,412 = 534,412/x
  3. Step 3: Cross multiply
    380,016x = 534,412 × 534,412
  4. Step 4: Simplify right side
    380,016x = 285,596,185,744
  5. Step 5: Solve for x
    x = 285,596,185,744/380,016
  6. Step 6: Final answer
    x = 751,537.27

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.