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Finding the Third Proportional to 332,932.50 and 733,731

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Solution

The third proportional to 332,932.50 and 733,731 is: 1,617,028.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,932.50 : 733,731 = 733,731 : x
  2. Step 2: Convert to fraction form
    332,932.50/733,731 = 733,731/x
  3. Step 3: Cross multiply
    332,932.50x = 733,731 × 733,731
  4. Step 4: Simplify right side
    332,932.50x = 538,361,180,361
  5. Step 5: Solve for x
    x = 538,361,180,361/332,932.50
  6. Step 6: Final answer
    x = 1,617,028.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.