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Finding the Third Proportional to 273,431 and 365,841.50

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Solution

The third proportional to 273,431 and 365,841.50 is: 489,483.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,431 : 365,841.50 = 365,841.50 : x
  2. Step 2: Convert to fraction form
    273,431/365,841.50 = 365,841.50/x
  3. Step 3: Cross multiply
    273,431x = 365,841.50 × 365,841.50
  4. Step 4: Simplify right side
    273,431x = 133,840,003,122.25
  5. Step 5: Solve for x
    x = 133,840,003,122.25/273,431
  6. Step 6: Final answer
    x = 489,483.65

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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.