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Finding the Third Proportional to 394,084.75 and 611,457.75

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Solution

The third proportional to 394,084.75 and 611,457.75 is: 948,731.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,084.75 : 611,457.75 = 611,457.75 : x
  2. Step 2: Convert to fraction form
    394,084.75/611,457.75 = 611,457.75/x
  3. Step 3: Cross multiply
    394,084.75x = 611,457.75 × 611,457.75
  4. Step 4: Simplify right side
    394,084.75x = 373,880,580,035.06
  5. Step 5: Solve for x
    x = 373,880,580,035.06/394,084.75
  6. Step 6: Final answer
    x = 948,731.41

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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.