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Finding the Third Proportional to 318,568.50 and 481,933.50

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Solution

The third proportional to 318,568.50 and 481,933.50 is: 729,073.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,568.50 : 481,933.50 = 481,933.50 : x
  2. Step 2: Convert to fraction form
    318,568.50/481,933.50 = 481,933.50/x
  3. Step 3: Cross multiply
    318,568.50x = 481,933.50 × 481,933.50
  4. Step 4: Simplify right side
    318,568.50x = 232,259,898,422.25
  5. Step 5: Solve for x
    x = 232,259,898,422.25/318,568.50
  6. Step 6: Final answer
    x = 729,073.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.