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Finding the Third Proportional to 332,953.50 and 733,772

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Solution

The third proportional to 332,953.50 and 733,772 is: 1,617,106.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,953.50 : 733,772 = 733,772 : x
  2. Step 2: Convert to fraction form
    332,953.50/733,772 = 733,772/x
  3. Step 3: Cross multiply
    332,953.50x = 733,772 × 733,772
  4. Step 4: Simplify right side
    332,953.50x = 538,421,347,984
  5. Step 5: Solve for x
    x = 538,421,347,984/332,953.50
  6. Step 6: Final answer
    x = 1,617,106.74

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