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Finding the Third Proportional to 273,433 and 365,844.50

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Solution

The third proportional to 273,433 and 365,844.50 is: 489,488.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,433 : 365,844.50 = 365,844.50 : x
  2. Step 2: Convert to fraction form
    273,433/365,844.50 = 365,844.50/x
  3. Step 3: Cross multiply
    273,433x = 365,844.50 × 365,844.50
  4. Step 4: Simplify right side
    273,433x = 133,842,198,180.25
  5. Step 5: Solve for x
    x = 133,842,198,180.25/273,433
  6. Step 6: Final answer
    x = 489,488.09

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.