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Finding the Third Proportional to 542,130 and 724,500

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Solution

The third proportional to 542,130 and 724,500 is: 968,218.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,130 : 724,500 = 724,500 : x
  2. Step 2: Convert to fraction form
    542,130/724,500 = 724,500/x
  3. Step 3: Cross multiply
    542,130x = 724,500 × 724,500
  4. Step 4: Simplify right side
    542,130x = 524,900,250,000
  5. Step 5: Solve for x
    x = 524,900,250,000/542,130
  6. Step 6: Final answer
    x = 968,218.42

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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.