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Finding the Third Proportional to 227,092.50 and 477,708.75

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Solution

The third proportional to 227,092.50 and 477,708.75 is: 1,004,901.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,092.50 : 477,708.75 = 477,708.75 : x
  2. Step 2: Convert to fraction form
    227,092.50/477,708.75 = 477,708.75/x
  3. Step 3: Cross multiply
    227,092.50x = 477,708.75 × 477,708.75
  4. Step 4: Simplify right side
    227,092.50x = 228,205,649,826.56
  5. Step 5: Solve for x
    x = 228,205,649,826.56/227,092.50
  6. Step 6: Final answer
    x = 1,004,901.75

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.