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Finding the Third Proportional to 323,640.50 and 502,500.75

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Solution

The third proportional to 323,640.50 and 502,500.75 is: 780,208.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,640.50 : 502,500.75 = 502,500.75 : x
  2. Step 2: Convert to fraction form
    323,640.50/502,500.75 = 502,500.75/x
  3. Step 3: Cross multiply
    323,640.50x = 502,500.75 × 502,500.75
  4. Step 4: Simplify right side
    323,640.50x = 252,507,003,750.56
  5. Step 5: Solve for x
    x = 252,507,003,750.56/323,640.50
  6. Step 6: Final answer
    x = 780,208.30

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.