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Finding the Third Proportional to 394,860 and 577,484

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Solution

The third proportional to 394,860 and 577,484 is: 844,572.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,860 : 577,484 = 577,484 : x
  2. Step 2: Convert to fraction form
    394,860/577,484 = 577,484/x
  3. Step 3: Cross multiply
    394,860x = 577,484 × 577,484
  4. Step 4: Simplify right side
    394,860x = 333,487,770,256
  5. Step 5: Solve for x
    x = 333,487,770,256/394,860
  6. Step 6: Final answer
    x = 844,572.18

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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.