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Finding the Third Proportional to 394,088 and 611,462

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Solution

The third proportional to 394,088 and 611,462 is: 948,736.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,088 : 611,462 = 611,462 : x
  2. Step 2: Convert to fraction form
    394,088/611,462 = 611,462/x
  3. Step 3: Cross multiply
    394,088x = 611,462 × 611,462
  4. Step 4: Simplify right side
    394,088x = 373,885,777,444
  5. Step 5: Solve for x
    x = 373,885,777,444/394,088
  6. Step 6: Final answer
    x = 948,736.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.