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Finding the Third Proportional to 313,600.50 and 477,774.75

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Solution

The third proportional to 313,600.50 and 477,774.75 is: 727,896.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,600.50 : 477,774.75 = 477,774.75 : x
  2. Step 2: Convert to fraction form
    313,600.50/477,774.75 = 477,774.75/x
  3. Step 3: Cross multiply
    313,600.50x = 477,774.75 × 477,774.75
  4. Step 4: Simplify right side
    313,600.50x = 228,268,711,737.56
  5. Step 5: Solve for x
    x = 228,268,711,737.56/313,600.50
  6. Step 6: Final answer
    x = 727,896.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.