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Finding the Third Proportional to 196,808 and 407,620

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Solution

The third proportional to 196,808 and 407,620 is: 844,244.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,808 : 407,620 = 407,620 : x
  2. Step 2: Convert to fraction form
    196,808/407,620 = 407,620/x
  3. Step 3: Cross multiply
    196,808x = 407,620 × 407,620
  4. Step 4: Simplify right side
    196,808x = 166,154,064,400
  5. Step 5: Solve for x
    x = 166,154,064,400/196,808
  6. Step 6: Final answer
    x = 844,244.46

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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.