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Finding the Third Proportional to 542,783.50 and 796,041

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Solution

The third proportional to 542,783.50 and 796,041 is: 1,167,465.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,783.50 : 796,041 = 796,041 : x
  2. Step 2: Convert to fraction form
    542,783.50/796,041 = 796,041/x
  3. Step 3: Cross multiply
    542,783.50x = 796,041 × 796,041
  4. Step 4: Simplify right side
    542,783.50x = 633,681,273,681
  5. Step 5: Solve for x
    x = 633,681,273,681/542,783.50
  6. Step 6: Final answer
    x = 1,167,465.99

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.