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Finding the Third Proportional to 297,196.50 and 451,471.50

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Solution

The third proportional to 297,196.50 and 451,471.50 is: 685,830.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,196.50 : 451,471.50 = 451,471.50 : x
  2. Step 2: Convert to fraction form
    297,196.50/451,471.50 = 451,471.50/x
  3. Step 3: Cross multiply
    297,196.50x = 451,471.50 × 451,471.50
  4. Step 4: Simplify right side
    297,196.50x = 203,826,515,312.25
  5. Step 5: Solve for x
    x = 203,826,515,312.25/297,196.50
  6. Step 6: Final answer
    x = 685,830.81

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