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Finding the Third Proportional to 403,793 and 588,162

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Solution

The third proportional to 403,793 and 588,162 is: 856,712.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,793 : 588,162 = 588,162 : x
  2. Step 2: Convert to fraction form
    403,793/588,162 = 588,162/x
  3. Step 3: Cross multiply
    403,793x = 588,162 × 588,162
  4. Step 4: Simplify right side
    403,793x = 345,934,538,244
  5. Step 5: Solve for x
    x = 345,934,538,244/403,793
  6. Step 6: Final answer
    x = 856,712.57

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.