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Finding the Third Proportional to 199,233 and 429,942

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Solution

The third proportional to 199,233 and 429,942 is: 927,808.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,233 : 429,942 = 429,942 : x
  2. Step 2: Convert to fraction form
    199,233/429,942 = 429,942/x
  3. Step 3: Cross multiply
    199,233x = 429,942 × 429,942
  4. Step 4: Simplify right side
    199,233x = 184,850,123,364
  5. Step 5: Solve for x
    x = 184,850,123,364/199,233
  6. Step 6: Final answer
    x = 927,808.76

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.