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Finding the Third Proportional to 300,105 and 650,032.59

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Solution

The third proportional to 300,105 and 650,032.59 is: 1,407,981.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,105 : 650,032.59 = 650,032.59 : x
  2. Step 2: Convert to fraction form
    300,105/650,032.59 = 650,032.59/x
  3. Step 3: Cross multiply
    300,105x = 650,032.59 × 650,032.59
  4. Step 4: Simplify right side
    300,105x = 422,542,372,937.35
  5. Step 5: Solve for x
    x = 422,542,372,937.35/300,105
  6. Step 6: Final answer
    x = 1,407,981.78

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.