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Finding the Third Proportional to 330,150.94 and 524,778.75

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Solution

The third proportional to 330,150.94 and 524,778.75 is: 834,141.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,150.94 : 524,778.75 = 524,778.75 : x
  2. Step 2: Convert to fraction form
    330,150.94/524,778.75 = 524,778.75/x
  3. Step 3: Cross multiply
    330,150.94x = 524,778.75 × 524,778.75
  4. Step 4: Simplify right side
    330,150.94x = 275,392,736,451.56
  5. Step 5: Solve for x
    x = 275,392,736,451.56/330,150.94
  6. Step 6: Final answer
    x = 834,141.92

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.