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Finding the Third Proportional to 332,299.50 and 731,055

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Solution

The third proportional to 332,299.50 and 731,055 is: 1,608,312.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,299.50 : 731,055 = 731,055 : x
  2. Step 2: Convert to fraction form
    332,299.50/731,055 = 731,055/x
  3. Step 3: Cross multiply
    332,299.50x = 731,055 × 731,055
  4. Step 4: Simplify right side
    332,299.50x = 534,441,413,025
  5. Step 5: Solve for x
    x = 534,441,413,025/332,299.50
  6. Step 6: Final answer
    x = 1,608,312.42

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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.