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Finding the Third Proportional to 394,891 and 577,526

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Solution

The third proportional to 394,891 and 577,526 is: 844,628.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,891 : 577,526 = 577,526 : x
  2. Step 2: Convert to fraction form
    394,891/577,526 = 577,526/x
  3. Step 3: Cross multiply
    394,891x = 577,526 × 577,526
  4. Step 4: Simplify right side
    394,891x = 333,536,280,676
  5. Step 5: Solve for x
    x = 333,536,280,676/394,891
  6. Step 6: Final answer
    x = 844,628.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.