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Finding the Third Proportional to 311,908.50 and 502,314.75

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Solution

The third proportional to 311,908.50 and 502,314.75 is: 808,955.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,908.50 : 502,314.75 = 502,314.75 : x
  2. Step 2: Convert to fraction form
    311,908.50/502,314.75 = 502,314.75/x
  3. Step 3: Cross multiply
    311,908.50x = 502,314.75 × 502,314.75
  4. Step 4: Simplify right side
    311,908.50x = 252,320,108,067.56
  5. Step 5: Solve for x
    x = 252,320,108,067.56/311,908.50
  6. Step 6: Final answer
    x = 808,955.54

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.