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Finding the Third Proportional to 542,133 and 724,504.50

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Solution

The third proportional to 542,133 and 724,504.50 is: 968,225.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,133 : 724,504.50 = 724,504.50 : x
  2. Step 2: Convert to fraction form
    542,133/724,504.50 = 724,504.50/x
  3. Step 3: Cross multiply
    542,133x = 724,504.50 × 724,504.50
  4. Step 4: Simplify right side
    542,133x = 524,906,770,520.25
  5. Step 5: Solve for x
    x = 524,906,770,520.25/542,133
  6. Step 6: Final answer
    x = 968,225.09

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.