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Finding the Third Proportional to 579,041 and 835,343

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Solution

The third proportional to 579,041 and 835,343 is: 1,205,092.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,041 : 835,343 = 835,343 : x
  2. Step 2: Convert to fraction form
    579,041/835,343 = 835,343/x
  3. Step 3: Cross multiply
    579,041x = 835,343 × 835,343
  4. Step 4: Simplify right side
    579,041x = 697,797,927,649
  5. Step 5: Solve for x
    x = 697,797,927,649/579,041
  6. Step 6: Final answer
    x = 1,205,092.43

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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.