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Finding the Third Proportional to 394,653 and 577,236

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Solution

The third proportional to 394,653 and 577,236 is: 844,289.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,653 : 577,236 = 577,236 : x
  2. Step 2: Convert to fraction form
    394,653/577,236 = 577,236/x
  3. Step 3: Cross multiply
    394,653x = 577,236 × 577,236
  4. Step 4: Simplify right side
    394,653x = 333,201,399,696
  5. Step 5: Solve for x
    x = 333,201,399,696/394,653
  6. Step 6: Final answer
    x = 844,289.54

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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.