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Finding the Third Proportional to 196,792.88 and 407,588.63

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Solution

The third proportional to 196,792.88 and 407,588.63 is: 844,179.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,792.88 : 407,588.63 = 407,588.63 : x
  2. Step 2: Convert to fraction form
    196,792.88/407,588.63 = 407,588.63/x
  3. Step 3: Cross multiply
    196,792.88x = 407,588.63 × 407,588.63
  4. Step 4: Simplify right side
    196,792.88x = 166,128,487,229.39
  5. Step 5: Solve for x
    x = 166,128,487,229.39/196,792.88
  6. Step 6: Final answer
    x = 844,179.38

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.