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Finding the Third Proportional to 318,552.75 and 481,909.50

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Solution

The third proportional to 318,552.75 and 481,909.50 is: 729,037.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,552.75 : 481,909.50 = 481,909.50 : x
  2. Step 2: Convert to fraction form
    318,552.75/481,909.50 = 481,909.50/x
  3. Step 3: Cross multiply
    318,552.75x = 481,909.50 × 481,909.50
  4. Step 4: Simplify right side
    318,552.75x = 232,236,766,190.25
  5. Step 5: Solve for x
    x = 232,236,766,190.25/318,552.75
  6. Step 6: Final answer
    x = 729,037.08

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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.