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Finding the Third Proportional to 281,958 and 415,149

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Solution

The third proportional to 281,958 and 415,149 is: 611,256.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,958 : 415,149 = 415,149 : x
  2. Step 2: Convert to fraction form
    281,958/415,149 = 415,149/x
  3. Step 3: Cross multiply
    281,958x = 415,149 × 415,149
  4. Step 4: Simplify right side
    281,958x = 172,348,692,201
  5. Step 5: Solve for x
    x = 172,348,692,201/281,958
  6. Step 6: Final answer
    x = 611,256.61

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.