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Finding the Third Proportional to 579,039.89 and 835,342.24

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Solution

The third proportional to 579,039.89 and 835,342.24 is: 1,205,092.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,039.89 : 835,342.24 = 835,342.24 : x
  2. Step 2: Convert to fraction form
    579,039.89/835,342.24 = 835,342.24/x
  3. Step 3: Cross multiply
    579,039.89x = 835,342.24 × 835,342.24
  4. Step 4: Simplify right side
    579,039.89x = 697,796,661,582.84
  5. Step 5: Solve for x
    x = 697,796,661,582.84/579,039.89
  6. Step 6: Final answer
    x = 1,205,092.56

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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.