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Finding the Third Proportional to 541,013.77 and 844,274.39

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Solution

The third proportional to 541,013.77 and 844,274.39 is: 1,317,525.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,013.77 : 844,274.39 = 844,274.39 : x
  2. Step 2: Convert to fraction form
    541,013.77/844,274.39 = 844,274.39/x
  3. Step 3: Cross multiply
    541,013.77x = 844,274.39 × 844,274.39
  4. Step 4: Simplify right side
    541,013.77x = 712,799,246,665.22
  5. Step 5: Solve for x
    x = 712,799,246,665.22/541,013.77
  6. Step 6: Final answer
    x = 1,317,525.16

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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.