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Finding the Third Proportional to 193,474 and 406,532

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Solution

The third proportional to 193,474 and 406,532 is: 854,214.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,474 : 406,532 = 406,532 : x
  2. Step 2: Convert to fraction form
    193,474/406,532 = 406,532/x
  3. Step 3: Cross multiply
    193,474x = 406,532 × 406,532
  4. Step 4: Simplify right side
    193,474x = 165,268,267,024
  5. Step 5: Solve for x
    x = 165,268,267,024/193,474
  6. Step 6: Final answer
    x = 854,214.35

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.