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Finding the Third Proportional to 542,134.50 and 724,506.75

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Solution

The third proportional to 542,134.50 and 724,506.75 is: 968,228.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,134.50 : 724,506.75 = 724,506.75 : x
  2. Step 2: Convert to fraction form
    542,134.50/724,506.75 = 724,506.75/x
  3. Step 3: Cross multiply
    542,134.50x = 724,506.75 × 724,506.75
  4. Step 4: Simplify right side
    542,134.50x = 524,910,030,795.56
  5. Step 5: Solve for x
    x = 524,910,030,795.56/542,134.50
  6. Step 6: Final answer
    x = 968,228.42

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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.