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Finding the Third Proportional to 797,029.88 and 926,584.31

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Solution

The third proportional to 797,029.88 and 926,584.31 is: 1,077,197.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,029.88 : 926,584.31 = 926,584.31 : x
  2. Step 2: Convert to fraction form
    797,029.88/926,584.31 = 926,584.31/x
  3. Step 3: Cross multiply
    797,029.88x = 926,584.31 × 926,584.31
  4. Step 4: Simplify right side
    797,029.88x = 858,558,488,171.10
  5. Step 5: Solve for x
    x = 858,558,488,171.10/797,029.88
  6. Step 6: Final answer
    x = 1,077,197.37

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.