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Finding the Third Proportional to 611,296.88 and 844,639.31

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Solution

The third proportional to 611,296.88 and 844,639.31 is: 1,167,052.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,296.88 : 844,639.31 = 844,639.31 : x
  2. Step 2: Convert to fraction form
    611,296.88/844,639.31 = 844,639.31/x
  3. Step 3: Cross multiply
    611,296.88x = 844,639.31 × 844,639.31
  4. Step 4: Simplify right side
    611,296.88x = 713,415,568,220.47
  5. Step 5: Solve for x
    x = 713,415,568,220.47/611,296.88
  6. Step 6: Final answer
    x = 1,167,052.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.