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Finding the Third Proportional to 395,016 and 875,444

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Solution

The third proportional to 395,016 and 875,444 is: 1,940,180.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,016 : 875,444 = 875,444 : x
  2. Step 2: Convert to fraction form
    395,016/875,444 = 875,444/x
  3. Step 3: Cross multiply
    395,016x = 875,444 × 875,444
  4. Step 4: Simplify right side
    395,016x = 766,402,197,136
  5. Step 5: Solve for x
    x = 766,402,197,136/395,016
  6. Step 6: Final answer
    x = 1,940,180.14

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.