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Finding the Third Proportional to 394,535 and 558,259.50

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Solution

The third proportional to 394,535 and 558,259.50 is: 789,926.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,535 : 558,259.50 = 558,259.50 : x
  2. Step 2: Convert to fraction form
    394,535/558,259.50 = 558,259.50/x
  3. Step 3: Cross multiply
    394,535x = 558,259.50 × 558,259.50
  4. Step 4: Simplify right side
    394,535x = 311,653,669,340.25
  5. Step 5: Solve for x
    x = 311,653,669,340.25/394,535
  6. Step 6: Final answer
    x = 789,926.54

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.