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Finding the Third Proportional to 291,961.13 and 628,917.75

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Solution

The third proportional to 291,961.13 and 628,917.75 is: 1,354,760.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,961.13 : 628,917.75 = 628,917.75 : x
  2. Step 2: Convert to fraction form
    291,961.13/628,917.75 = 628,917.75/x
  3. Step 3: Cross multiply
    291,961.13x = 628,917.75 × 628,917.75
  4. Step 4: Simplify right side
    291,961.13x = 395,537,536,265.06
  5. Step 5: Solve for x
    x = 395,537,536,265.06/291,961.13
  6. Step 6: Final answer
    x = 1,354,760.97

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.