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Finding the Third Proportional to 541,016 and 844,278

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Solution

The third proportional to 541,016 and 844,278 is: 1,317,530.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,016 : 844,278 = 844,278 : x
  2. Step 2: Convert to fraction form
    541,016/844,278 = 844,278/x
  3. Step 3: Cross multiply
    541,016x = 844,278 × 844,278
  4. Step 4: Simplify right side
    541,016x = 712,805,341,284
  5. Step 5: Solve for x
    x = 712,805,341,284/541,016
  6. Step 6: Final answer
    x = 1,317,530.98

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.