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Finding the Third Proportional to 196,799 and 407,602

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Solution

The third proportional to 196,799 and 407,602 is: 844,208.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,799 : 407,602 = 407,602 : x
  2. Step 2: Convert to fraction form
    196,799/407,602 = 407,602/x
  3. Step 3: Cross multiply
    196,799x = 407,602 × 407,602
  4. Step 4: Simplify right side
    196,799x = 166,139,390,404
  5. Step 5: Solve for x
    x = 166,139,390,404/196,799
  6. Step 6: Final answer
    x = 844,208.51

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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.