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Finding the Third Proportional to 318,910.75 and 459,502.75

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Solution

The third proportional to 318,910.75 and 459,502.75 is: 662,074.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,910.75 : 459,502.75 = 459,502.75 : x
  2. Step 2: Convert to fraction form
    318,910.75/459,502.75 = 459,502.75/x
  3. Step 3: Cross multiply
    318,910.75x = 459,502.75 × 459,502.75
  4. Step 4: Simplify right side
    318,910.75x = 211,142,777,257.56
  5. Step 5: Solve for x
    x = 211,142,777,257.56/318,910.75
  6. Step 6: Final answer
    x = 662,074.82

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.