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Finding the Third Proportional to 308,451.75 and 420,213.25

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Solution

The third proportional to 308,451.75 and 420,213.25 is: 572,469.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,451.75 : 420,213.25 = 420,213.25 : x
  2. Step 2: Convert to fraction form
    308,451.75/420,213.25 = 420,213.25/x
  3. Step 3: Cross multiply
    308,451.75x = 420,213.25 × 420,213.25
  4. Step 4: Simplify right side
    308,451.75x = 176,579,175,475.56
  5. Step 5: Solve for x
    x = 176,579,175,475.56/308,451.75
  6. Step 6: Final answer
    x = 572,469.36

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.