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Finding the Third Proportional to 394,140 and 611,451

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Solution

The third proportional to 394,140 and 611,451 is: 948,577.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,140 : 611,451 = 611,451 : x
  2. Step 2: Convert to fraction form
    394,140/611,451 = 611,451/x
  3. Step 3: Cross multiply
    394,140x = 611,451 × 611,451
  4. Step 4: Simplify right side
    394,140x = 373,872,325,401
  5. Step 5: Solve for x
    x = 373,872,325,401/394,140
  6. Step 6: Final answer
    x = 948,577.47

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