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Finding the Third Proportional to 331,740.56 and 503,766.84

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Solution

The third proportional to 331,740.56 and 503,766.84 is: 764,998.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,740.56 : 503,766.84 = 503,766.84 : x
  2. Step 2: Convert to fraction form
    331,740.56/503,766.84 = 503,766.84/x
  3. Step 3: Cross multiply
    331,740.56x = 503,766.84 × 503,766.84
  4. Step 4: Simplify right side
    331,740.56x = 253,781,032,861.84
  5. Step 5: Solve for x
    x = 253,781,032,861.84/331,740.56
  6. Step 6: Final answer
    x = 764,998.50

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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.