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Finding the Third Proportional to 579,046.31 and 835,350.61

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Solution

The third proportional to 579,046.31 and 835,350.61 is: 1,205,103.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,046.31 : 835,350.61 = 835,350.61 : x
  2. Step 2: Convert to fraction form
    579,046.31/835,350.61 = 835,350.61/x
  3. Step 3: Cross multiply
    579,046.31x = 835,350.61 × 835,350.61
  4. Step 4: Simplify right side
    579,046.31x = 697,810,640,583.18
  5. Step 5: Solve for x
    x = 697,810,640,583.18/579,046.31
  6. Step 6: Final answer
    x = 1,205,103.33

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.