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Finding the Third Proportional to 252,471.50 and 547,861

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Solution

The third proportional to 252,471.50 and 547,861 is: 1,188,853.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,471.50 : 547,861 = 547,861 : x
  2. Step 2: Convert to fraction form
    252,471.50/547,861 = 547,861/x
  3. Step 3: Cross multiply
    252,471.50x = 547,861 × 547,861
  4. Step 4: Simplify right side
    252,471.50x = 300,151,675,321
  5. Step 5: Solve for x
    x = 300,151,675,321/252,471.50
  6. Step 6: Final answer
    x = 1,188,853.69

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.