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Finding the Third Proportional to 394,094 and 611,471.50

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Solution

The third proportional to 394,094 and 611,471.50 is: 948,751.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,094 : 611,471.50 = 611,471.50 : x
  2. Step 2: Convert to fraction form
    394,094/611,471.50 = 611,471.50/x
  3. Step 3: Cross multiply
    394,094x = 611,471.50 × 611,471.50
  4. Step 4: Simplify right side
    394,094x = 373,897,395,312.25
  5. Step 5: Solve for x
    x = 373,897,395,312.25/394,094
  6. Step 6: Final answer
    x = 948,751.81

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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.