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Finding the Third Proportional to 458,118 and 699,023.25

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Solution

The third proportional to 458,118 and 699,023.25 is: 1,066,610.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,118 : 699,023.25 = 699,023.25 : x
  2. Step 2: Convert to fraction form
    458,118/699,023.25 = 699,023.25/x
  3. Step 3: Cross multiply
    458,118x = 699,023.25 × 699,023.25
  4. Step 4: Simplify right side
    458,118x = 488,633,504,040.56
  5. Step 5: Solve for x
    x = 488,633,504,040.56/458,118
  6. Step 6: Final answer
    x = 1,066,610.58

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.