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Finding the Third Proportional to 254,312 and 394,035

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Solution

The third proportional to 254,312 and 394,035 is: 610,524.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,312 : 394,035 = 394,035 : x
  2. Step 2: Convert to fraction form
    254,312/394,035 = 394,035/x
  3. Step 3: Cross multiply
    254,312x = 394,035 × 394,035
  4. Step 4: Simplify right side
    254,312x = 155,263,581,225
  5. Step 5: Solve for x
    x = 155,263,581,225/254,312
  6. Step 6: Final answer
    x = 610,524.01

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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.