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Finding the Third Proportional to 287,544 and 620,016

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Solution

The third proportional to 287,544 and 620,016 is: 1,336,907.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,544 : 620,016 = 620,016 : x
  2. Step 2: Convert to fraction form
    287,544/620,016 = 620,016/x
  3. Step 3: Cross multiply
    287,544x = 620,016 × 620,016
  4. Step 4: Simplify right side
    287,544x = 384,419,840,256
  5. Step 5: Solve for x
    x = 384,419,840,256/287,544
  6. Step 6: Final answer
    x = 1,336,907.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.