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Finding the Third Proportional to 267,919 and 374,590.50

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Solution

The third proportional to 267,919 and 374,590.50 is: 523,733.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,919 : 374,590.50 = 374,590.50 : x
  2. Step 2: Convert to fraction form
    267,919/374,590.50 = 374,590.50/x
  3. Step 3: Cross multiply
    267,919x = 374,590.50 × 374,590.50
  4. Step 4: Simplify right side
    267,919x = 140,318,042,690.25
  5. Step 5: Solve for x
    x = 140,318,042,690.25/267,919
  6. Step 6: Final answer
    x = 523,733.08

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.