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Finding the Third Proportional to 200,067 and 429,522

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Solution

The third proportional to 200,067 and 429,522 is: 922,136.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,067 : 429,522 = 429,522 : x
  2. Step 2: Convert to fraction form
    200,067/429,522 = 429,522/x
  3. Step 3: Cross multiply
    200,067x = 429,522 × 429,522
  4. Step 4: Simplify right side
    200,067x = 184,489,148,484
  5. Step 5: Solve for x
    x = 184,489,148,484/200,067
  6. Step 6: Final answer
    x = 922,136.83

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.