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Finding the Third Proportional to 273,048.50 and 427,400

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Solution

The third proportional to 273,048.50 and 427,400 is: 669,004.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,048.50 : 427,400 = 427,400 : x
  2. Step 2: Convert to fraction form
    273,048.50/427,400 = 427,400/x
  3. Step 3: Cross multiply
    273,048.50x = 427,400 × 427,400
  4. Step 4: Simplify right side
    273,048.50x = 182,670,760,000
  5. Step 5: Solve for x
    x = 182,670,760,000/273,048.50
  6. Step 6: Final answer
    x = 669,004.81

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.