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Finding the Third Proportional to 333,553.50 and 733,530

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Solution

The third proportional to 333,553.50 and 733,530 is: 1,613,133.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,553.50 : 733,530 = 733,530 : x
  2. Step 2: Convert to fraction form
    333,553.50/733,530 = 733,530/x
  3. Step 3: Cross multiply
    333,553.50x = 733,530 × 733,530
  4. Step 4: Simplify right side
    333,553.50x = 538,066,260,900
  5. Step 5: Solve for x
    x = 538,066,260,900/333,553.50
  6. Step 6: Final answer
    x = 1,613,133.31

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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.