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Finding the Third Proportional to 399,077 and 542,815

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Solution

The third proportional to 399,077 and 542,815 is: 738,323.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,077 : 542,815 = 542,815 : x
  2. Step 2: Convert to fraction form
    399,077/542,815 = 542,815/x
  3. Step 3: Cross multiply
    399,077x = 542,815 × 542,815
  4. Step 4: Simplify right side
    399,077x = 294,648,124,225
  5. Step 5: Solve for x
    x = 294,648,124,225/399,077
  6. Step 6: Final answer
    x = 738,323.99

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.