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Finding the Third Proportional to 308,435.50 and 471,401

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Solution

The third proportional to 308,435.50 and 471,401 is: 720,471.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,435.50 : 471,401 = 471,401 : x
  2. Step 2: Convert to fraction form
    308,435.50/471,401 = 471,401/x
  3. Step 3: Cross multiply
    308,435.50x = 471,401 × 471,401
  4. Step 4: Simplify right side
    308,435.50x = 222,218,902,801
  5. Step 5: Solve for x
    x = 222,218,902,801/308,435.50
  6. Step 6: Final answer
    x = 720,471.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.